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Finding the Fourth Proportional to 702.40, 1,053.90 and 442.60

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Solution

The fourth proportional to 702.40, 1,053.90 and 442.60 is: 664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.40 : 1,053.90 = 442.60 : x
  2. Step 2: Convert to fraction form
    702.40/1,053.90 = 442.60/x
  3. Step 3: Cross multiply
    702.40x = 1,053.90 × 442.60
  4. Step 4: Simplify right side
    702.40x = 466,456.14
  5. Step 5: Solve for x
    x = 466,456.14/702.40
  6. Step 6: Final answer
    x = 664.09

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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.