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Finding the Fourth Proportional to 713.73, 1,071.05 and 280.88

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Solution

The fourth proportional to 713.73, 1,071.05 and 280.88 is: 421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 1,071.05 = 280.88 : x
  2. Step 2: Convert to fraction form
    713.73/1,071.05 = 280.88/x
  3. Step 3: Cross multiply
    713.73x = 1,071.05 × 280.88
  4. Step 4: Simplify right side
    713.73x = 300,829.76
  5. Step 5: Solve for x
    x = 300,829.76/713.73
  6. Step 6: Final answer
    x = 421.49

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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.