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Finding the Fourth Proportional to 700.21, 965.64 and 542.33

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Solution

The fourth proportional to 700.21, 965.64 and 542.33 is: 747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.21 : 965.64 = 542.33 : x
  2. Step 2: Convert to fraction form
    700.21/965.64 = 542.33/x
  3. Step 3: Cross multiply
    700.21x = 965.64 × 542.33
  4. Step 4: Simplify right side
    700.21x = 523,695.54
  5. Step 5: Solve for x
    x = 523,695.54/700.21
  6. Step 6: Final answer
    x = 747.91

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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.