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Finding the Fourth Proportional to 708.32, 1,060.86 and 448.31

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Solution

The fourth proportional to 708.32, 1,060.86 and 448.31 is: 671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.32 : 1,060.86 = 448.31 : x
  2. Step 2: Convert to fraction form
    708.32/1,060.86 = 448.31/x
  3. Step 3: Cross multiply
    708.32x = 1,060.86 × 448.31
  4. Step 4: Simplify right side
    708.32x = 475,594.15
  5. Step 5: Solve for x
    x = 475,594.15/708.32
  6. Step 6: Final answer
    x = 671.44

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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.