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Finding the Fourth Proportional to 701.52, 965.54 and 561.20

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Solution

The fourth proportional to 701.52, 965.54 and 561.20 is: 772.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.52 : 965.54 = 561.20 : x
  2. Step 2: Convert to fraction form
    701.52/965.54 = 561.20/x
  3. Step 3: Cross multiply
    701.52x = 965.54 × 561.20
  4. Step 4: Simplify right side
    701.52x = 541,853.41
  5. Step 5: Solve for x
    x = 541,853.41/701.52
  6. Step 6: Final answer
    x = 772.40

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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.