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Finding the Fourth Proportional to 701.60, 1,053.61 and 467.71

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Solution

The fourth proportional to 701.60, 1,053.61 and 467.71 is: 702.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.60 : 1,053.61 = 467.71 : x
  2. Step 2: Convert to fraction form
    701.60/1,053.61 = 467.71/x
  3. Step 3: Cross multiply
    701.60x = 1,053.61 × 467.71
  4. Step 4: Simplify right side
    701.60x = 492,783.93
  5. Step 5: Solve for x
    x = 492,783.93/701.60
  6. Step 6: Final answer
    x = 702.37

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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.