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Finding the Fourth Proportional to 701.72, 1,052.54 and 214.71

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Solution

The fourth proportional to 701.72, 1,052.54 and 214.71 is: 322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.72 : 1,052.54 = 214.71 : x
  2. Step 2: Convert to fraction form
    701.72/1,052.54 = 214.71/x
  3. Step 3: Cross multiply
    701.72x = 1,052.54 × 214.71
  4. Step 4: Simplify right side
    701.72x = 225,990.86
  5. Step 5: Solve for x
    x = 225,990.86/701.72
  6. Step 6: Final answer
    x = 322.05

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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.