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Finding the Fourth Proportional to 713.67, 1,069.86 and 384.78

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Solution

The fourth proportional to 713.67, 1,069.86 and 384.78 is: 576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.67 : 1,069.86 = 384.78 : x
  2. Step 2: Convert to fraction form
    713.67/1,069.86 = 384.78/x
  3. Step 3: Cross multiply
    713.67x = 1,069.86 × 384.78
  4. Step 4: Simplify right side
    713.67x = 411,660.73
  5. Step 5: Solve for x
    x = 411,660.73/713.67
  6. Step 6: Final answer
    x = 576.82

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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.