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Finding the Fourth Proportional to 1,061.38, 1,592.94 and 908.28

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Solution

The fourth proportional to 1,061.38, 1,592.94 and 908.28 is: 1,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.38 : 1,592.94 = 908.28 : x
  2. Step 2: Convert to fraction form
    1,061.38/1,592.94 = 908.28/x
  3. Step 3: Cross multiply
    1,061.38x = 1,592.94 × 908.28
  4. Step 4: Simplify right side
    1,061.38x = 1,446,835.54
  5. Step 5: Solve for x
    x = 1,446,835.54/1,061.38
  6. Step 6: Final answer
    x = 1,363.16

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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.