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Finding the Fourth Proportional to 704.52, 972.84 and 471.78

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Solution

The fourth proportional to 704.52, 972.84 and 471.78 is: 651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.52 : 972.84 = 471.78 : x
  2. Step 2: Convert to fraction form
    704.52/972.84 = 471.78/x
  3. Step 3: Cross multiply
    704.52x = 972.84 × 471.78
  4. Step 4: Simplify right side
    704.52x = 458,966.46
  5. Step 5: Solve for x
    x = 458,966.46/704.52
  6. Step 6: Final answer
    x = 651.46

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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.