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Finding the Fourth Proportional to 702.68, 967.50 and 637.88

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Solution

The fourth proportional to 702.68, 967.50 and 637.88 is: 878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.68 : 967.50 = 637.88 : x
  2. Step 2: Convert to fraction form
    702.68/967.50 = 637.88/x
  3. Step 3: Cross multiply
    702.68x = 967.50 × 637.88
  4. Step 4: Simplify right side
    702.68x = 617,148.90
  5. Step 5: Solve for x
    x = 617,148.90/702.68
  6. Step 6: Final answer
    x = 878.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.