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Finding the Fourth Proportional to 702.87, 1,052.87 and 425.06

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Solution

The fourth proportional to 702.87, 1,052.87 and 425.06 is: 636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.87 : 1,052.87 = 425.06 : x
  2. Step 2: Convert to fraction form
    702.87/1,052.87 = 425.06/x
  3. Step 3: Cross multiply
    702.87x = 1,052.87 × 425.06
  4. Step 4: Simplify right side
    702.87x = 447,528.72
  5. Step 5: Solve for x
    x = 447,528.72/702.87
  6. Step 6: Final answer
    x = 636.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.