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Finding the Fourth Proportional to 704.97, 972.78 and 425.20

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Solution

The fourth proportional to 704.97, 972.78 and 425.20 is: 586.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.97 : 972.78 = 425.20 : x
  2. Step 2: Convert to fraction form
    704.97/972.78 = 425.20/x
  3. Step 3: Cross multiply
    704.97x = 972.78 × 425.20
  4. Step 4: Simplify right side
    704.97x = 413,623.93
  5. Step 5: Solve for x
    x = 413,623.93/704.97
  6. Step 6: Final answer
    x = 586.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.