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Finding the Fourth Proportional to 704.97, 972.84 and 425.44

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Solution

The fourth proportional to 704.97, 972.84 and 425.44 is: 587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.97 : 972.84 = 425.44 : x
  2. Step 2: Convert to fraction form
    704.97/972.84 = 425.44/x
  3. Step 3: Cross multiply
    704.97x = 972.84 × 425.44
  4. Step 4: Simplify right side
    704.97x = 413,885.05
  5. Step 5: Solve for x
    x = 413,885.05/704.97
  6. Step 6: Final answer
    x = 587.10

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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.