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Finding the Fourth Proportional to 702.57, 966.84 and 682.12

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Solution

The fourth proportional to 702.57, 966.84 and 682.12 is: 938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.57 : 966.84 = 682.12 : x
  2. Step 2: Convert to fraction form
    702.57/966.84 = 682.12/x
  3. Step 3: Cross multiply
    702.57x = 966.84 × 682.12
  4. Step 4: Simplify right side
    702.57x = 659,499.55
  5. Step 5: Solve for x
    x = 659,499.55/702.57
  6. Step 6: Final answer
    x = 938.69

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1.5x scale

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.