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Finding the Fourth Proportional to 1,193.13, 1,644.98 and 772.74

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Solution

The fourth proportional to 1,193.13, 1,644.98 and 772.74 is: 1,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.13 : 1,644.98 = 772.74 : x
  2. Step 2: Convert to fraction form
    1,193.13/1,644.98 = 772.74/x
  3. Step 3: Cross multiply
    1,193.13x = 1,644.98 × 772.74
  4. Step 4: Simplify right side
    1,193.13x = 1,271,137.98
  5. Step 5: Solve for x
    x = 1,271,137.98/1,193.13
  6. Step 6: Final answer
    x = 1,065.38

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.