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Finding the Fourth Proportional to 935.32, 1,290.81 and 542.34

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Solution

The fourth proportional to 935.32, 1,290.81 and 542.34 is: 748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.32 : 1,290.81 = 542.34 : x
  2. Step 2: Convert to fraction form
    935.32/1,290.81 = 542.34/x
  3. Step 3: Cross multiply
    935.32x = 1,290.81 × 542.34
  4. Step 4: Simplify right side
    935.32x = 700,048.73
  5. Step 5: Solve for x
    x = 700,048.73/935.32
  6. Step 6: Final answer
    x = 748.46

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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.