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Finding the Fourth Proportional to 700.52, 965.52 and 542.57

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Solution

The fourth proportional to 700.52, 965.52 and 542.57 is: 747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.52 : 965.52 = 542.57 : x
  2. Step 2: Convert to fraction form
    700.52/965.52 = 542.57/x
  3. Step 3: Cross multiply
    700.52x = 965.52 × 542.57
  4. Step 4: Simplify right side
    700.52x = 523,857.36
  5. Step 5: Solve for x
    x = 523,857.36/700.52
  6. Step 6: Final answer
    x = 747.82

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