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Finding the Fourth Proportional to 715.76, 1,073.96 and 390.64

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Solution

The fourth proportional to 715.76, 1,073.96 and 390.64 is: 586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.76 : 1,073.96 = 390.64 : x
  2. Step 2: Convert to fraction form
    715.76/1,073.96 = 390.64/x
  3. Step 3: Cross multiply
    715.76x = 1,073.96 × 390.64
  4. Step 4: Simplify right side
    715.76x = 419,531.73
  5. Step 5: Solve for x
    x = 419,531.73/715.76
  6. Step 6: Final answer
    x = 586.13

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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.