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Finding the Fourth Proportional to 1,164.52, 1,743.12 and 616

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Solution

The fourth proportional to 1,164.52, 1,743.12 and 616 is: 922.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.52 : 1,743.12 = 616 : x
  2. Step 2: Convert to fraction form
    1,164.52/1,743.12 = 616/x
  3. Step 3: Cross multiply
    1,164.52x = 1,743.12 × 616
  4. Step 4: Simplify right side
    1,164.52x = 1,073,761.92
  5. Step 5: Solve for x
    x = 1,073,761.92/1,164.52
  6. Step 6: Final answer
    x = 922.06

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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.