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Finding the Fourth Proportional to 701.32, 1,044.20 and 699.16

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Solution

The fourth proportional to 701.32, 1,044.20 and 699.16 is: 1,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.32 : 1,044.20 = 699.16 : x
  2. Step 2: Convert to fraction form
    701.32/1,044.20 = 699.16/x
  3. Step 3: Cross multiply
    701.32x = 1,044.20 × 699.16
  4. Step 4: Simplify right side
    701.32x = 730,062.87
  5. Step 5: Solve for x
    x = 730,062.87/701.32
  6. Step 6: Final answer
    x = 1,040.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.