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Finding the Fourth Proportional to 923.70, 1,385.98 and 461.51

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Solution

The fourth proportional to 923.70, 1,385.98 and 461.51 is: 692.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.70 : 1,385.98 = 461.51 : x
  2. Step 2: Convert to fraction form
    923.70/1,385.98 = 461.51/x
  3. Step 3: Cross multiply
    923.70x = 1,385.98 × 461.51
  4. Step 4: Simplify right side
    923.70x = 639,651.14
  5. Step 5: Solve for x
    x = 639,651.14/923.70
  6. Step 6: Final answer
    x = 692.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.