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Finding the Fourth Proportional to 935.37, 1,290.78 and 542.43

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Solution

The fourth proportional to 935.37, 1,290.78 and 542.43 is: 748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.37 : 1,290.78 = 542.43 : x
  2. Step 2: Convert to fraction form
    935.37/1,290.78 = 542.43/x
  3. Step 3: Cross multiply
    935.37x = 1,290.78 × 542.43
  4. Step 4: Simplify right side
    935.37x = 700,157.80
  5. Step 5: Solve for x
    x = 700,157.80/935.37
  6. Step 6: Final answer
    x = 748.54

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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.