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Finding the Fourth Proportional to 1,035.17, 1,428.69 and 815.78

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Solution

The fourth proportional to 1,035.17, 1,428.69 and 815.78 is: 1,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.17 : 1,428.69 = 815.78 : x
  2. Step 2: Convert to fraction form
    1,035.17/1,428.69 = 815.78/x
  3. Step 3: Cross multiply
    1,035.17x = 1,428.69 × 815.78
  4. Step 4: Simplify right side
    1,035.17x = 1,165,489.58
  5. Step 5: Solve for x
    x = 1,165,489.58/1,035.17
  6. Step 6: Final answer
    x = 1,125.90

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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.