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Finding the Fourth Proportional to 1,318.17, 1,976.61 and 702.18

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Solution

The fourth proportional to 1,318.17, 1,976.61 and 702.18 is: 1,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.17 : 1,976.61 = 702.18 : x
  2. Step 2: Convert to fraction form
    1,318.17/1,976.61 = 702.18/x
  3. Step 3: Cross multiply
    1,318.17x = 1,976.61 × 702.18
  4. Step 4: Simplify right side
    1,318.17x = 1,387,936.01
  5. Step 5: Solve for x
    x = 1,387,936.01/1,318.17
  6. Step 6: Final answer
    x = 1,052.93

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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.