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Finding the Fourth Proportional to 759.87, 1,138.19 and 702.23

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Solution

The fourth proportional to 759.87, 1,138.19 and 702.23 is: 1,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.87 : 1,138.19 = 702.23 : x
  2. Step 2: Convert to fraction form
    759.87/1,138.19 = 702.23/x
  3. Step 3: Cross multiply
    759.87x = 1,138.19 × 702.23
  4. Step 4: Simplify right side
    759.87x = 799,261.96
  5. Step 5: Solve for x
    x = 799,261.96/759.87
  6. Step 6: Final answer
    x = 1,051.84

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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.