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Finding the Fourth Proportional to 702.92, 1,053.98 and 498.76

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Solution

The fourth proportional to 702.92, 1,053.98 and 498.76 is: 747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.92 : 1,053.98 = 498.76 : x
  2. Step 2: Convert to fraction form
    702.92/1,053.98 = 498.76/x
  3. Step 3: Cross multiply
    702.92x = 1,053.98 × 498.76
  4. Step 4: Simplify right side
    702.92x = 525,683.06
  5. Step 5: Solve for x
    x = 525,683.06/702.92
  6. Step 6: Final answer
    x = 747.86

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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.