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Finding the Fourth Proportional to 1,160.33, 1,737.86 and 613.17

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Solution

The fourth proportional to 1,160.33, 1,737.86 and 613.17 is: 918.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.33 : 1,737.86 = 613.17 : x
  2. Step 2: Convert to fraction form
    1,160.33/1,737.86 = 613.17/x
  3. Step 3: Cross multiply
    1,160.33x = 1,737.86 × 613.17
  4. Step 4: Simplify right side
    1,160.33x = 1,065,600.55
  5. Step 5: Solve for x
    x = 1,065,600.55/1,160.33
  6. Step 6: Final answer
    x = 918.36

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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.