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Finding the Fourth Proportional to 968.48, 1,452.31 and 706.85

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Solution

The fourth proportional to 968.48, 1,452.31 and 706.85 is: 1,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.48 : 1,452.31 = 706.85 : x
  2. Step 2: Convert to fraction form
    968.48/1,452.31 = 706.85/x
  3. Step 3: Cross multiply
    968.48x = 1,452.31 × 706.85
  4. Step 4: Simplify right side
    968.48x = 1,026,565.32
  5. Step 5: Solve for x
    x = 1,026,565.32/968.48
  6. Step 6: Final answer
    x = 1,059.98

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Why These Related Problems?

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