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Finding the Fourth Proportional to 923.69, 1,384.80 and 461.23

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Solution

The fourth proportional to 923.69, 1,384.80 and 461.23 is: 691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.69 : 1,384.80 = 461.23 : x
  2. Step 2: Convert to fraction form
    923.69/1,384.80 = 461.23/x
  3. Step 3: Cross multiply
    923.69x = 1,384.80 × 461.23
  4. Step 4: Simplify right side
    923.69x = 638,711.30
  5. Step 5: Solve for x
    x = 638,711.30/923.69
  6. Step 6: Final answer
    x = 691.48

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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.