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Finding the Fourth Proportional to 699.77, 965.86 and 542.09

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Solution

The fourth proportional to 699.77, 965.86 and 542.09 is: 748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.77 : 965.86 = 542.09 : x
  2. Step 2: Convert to fraction form
    699.77/965.86 = 542.09/x
  3. Step 3: Cross multiply
    699.77x = 965.86 × 542.09
  4. Step 4: Simplify right side
    699.77x = 523,584.11
  5. Step 5: Solve for x
    x = 523,584.11/699.77
  6. Step 6: Final answer
    x = 748.22

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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.