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Finding the Fourth Proportional to 702.50, 966.21 and 615.02

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Solution

The fourth proportional to 702.50, 966.21 and 615.02 is: 845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.50 : 966.21 = 615.02 : x
  2. Step 2: Convert to fraction form
    702.50/966.21 = 615.02/x
  3. Step 3: Cross multiply
    702.50x = 966.21 × 615.02
  4. Step 4: Simplify right side
    702.50x = 594,238.47
  5. Step 5: Solve for x
    x = 594,238.47/702.50
  6. Step 6: Final answer
    x = 845.89

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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.