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Finding the Fourth Proportional to 1,061.49, 1,465.16 and 707.92

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Solution

The fourth proportional to 1,061.49, 1,465.16 and 707.92 is: 977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.49 : 1,465.16 = 707.92 : x
  2. Step 2: Convert to fraction form
    1,061.49/1,465.16 = 707.92/x
  3. Step 3: Cross multiply
    1,061.49x = 1,465.16 × 707.92
  4. Step 4: Simplify right side
    1,061.49x = 1,037,223.08
  5. Step 5: Solve for x
    x = 1,037,223.08/1,061.49
  6. Step 6: Final answer
    x = 977.14

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