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Finding the Fourth Proportional to 713.74, 1,071.18 and 281.20

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Solution

The fourth proportional to 713.74, 1,071.18 and 281.20 is: 422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.74 : 1,071.18 = 281.20 : x
  2. Step 2: Convert to fraction form
    713.74/1,071.18 = 281.20/x
  3. Step 3: Cross multiply
    713.74x = 1,071.18 × 281.20
  4. Step 4: Simplify right side
    713.74x = 301,215.82
  5. Step 5: Solve for x
    x = 301,215.82/713.74
  6. Step 6: Final answer
    x = 422.02

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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.