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Finding the Fourth Proportional to 1,032.13, 1,547.43 and 621.17

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Solution

The fourth proportional to 1,032.13, 1,547.43 and 621.17 is: 931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.13 : 1,547.43 = 621.17 : x
  2. Step 2: Convert to fraction form
    1,032.13/1,547.43 = 621.17/x
  3. Step 3: Cross multiply
    1,032.13x = 1,547.43 × 621.17
  4. Step 4: Simplify right side
    1,032.13x = 961,213.99
  5. Step 5: Solve for x
    x = 961,213.99/1,032.13
  6. Step 6: Final answer
    x = 931.29

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