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Finding the Fourth Proportional to 702.10, 1,057.35 and 639.83

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Solution

The fourth proportional to 702.10, 1,057.35 and 639.83 is: 963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.10 : 1,057.35 = 639.83 : x
  2. Step 2: Convert to fraction form
    702.10/1,057.35 = 639.83/x
  3. Step 3: Cross multiply
    702.10x = 1,057.35 × 639.83
  4. Step 4: Simplify right side
    702.10x = 676,529.29
  5. Step 5: Solve for x
    x = 676,529.29/702.10
  6. Step 6: Final answer
    x = 963.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.