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Finding the Fourth Proportional to 1,164.92, 1,745.07 and 702.83

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Solution

The fourth proportional to 1,164.92, 1,745.07 and 702.83 is: 1,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.92 : 1,745.07 = 702.83 : x
  2. Step 2: Convert to fraction form
    1,164.92/1,745.07 = 702.83/x
  3. Step 3: Cross multiply
    1,164.92x = 1,745.07 × 702.83
  4. Step 4: Simplify right side
    1,164.92x = 1,226,487.55
  5. Step 5: Solve for x
    x = 1,226,487.55/1,164.92
  6. Step 6: Final answer
    x = 1,052.85

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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.