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Finding the Fourth Proportional to 701.11, 1,052.22 and 392.91

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Solution

The fourth proportional to 701.11, 1,052.22 and 392.91 is: 589.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.11 : 1,052.22 = 392.91 : x
  2. Step 2: Convert to fraction form
    701.11/1,052.22 = 392.91/x
  3. Step 3: Cross multiply
    701.11x = 1,052.22 × 392.91
  4. Step 4: Simplify right side
    701.11x = 413,427.76
  5. Step 5: Solve for x
    x = 413,427.76/701.11
  6. Step 6: Final answer
    x = 589.68

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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.