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Finding the Fourth Proportional to 704.61, 972 and 611.21

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Solution

The fourth proportional to 704.61, 972 and 611.21 is: 843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.61 : 972 = 611.21 : x
  2. Step 2: Convert to fraction form
    704.61/972 = 611.21/x
  3. Step 3: Cross multiply
    704.61x = 972 × 611.21
  4. Step 4: Simplify right side
    704.61x = 594,098.55
  5. Step 5: Solve for x
    x = 594,098.55/704.61
  6. Step 6: Final answer
    x = 843.16

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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.