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Finding the Fourth Proportional to 745.92, 1,116.97 and 724.03

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Solution

The fourth proportional to 745.92, 1,116.97 and 724.03 is: 1,084.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,116.97 = 724.03 : x
  2. Step 2: Convert to fraction form
    745.92/1,116.97 = 724.03/x
  3. Step 3: Cross multiply
    745.92x = 1,116.97 × 724.03
  4. Step 4: Simplify right side
    745.92x = 808,715.19
  5. Step 5: Solve for x
    x = 808,715.19/745.92
  6. Step 6: Final answer
    x = 1,084.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.