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Finding the Fourth Proportional to 935.49, 1,290.69 and 542.49

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Solution

The fourth proportional to 935.49, 1,290.69 and 542.49 is: 748.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.49 : 1,290.69 = 542.49 : x
  2. Step 2: Convert to fraction form
    935.49/1,290.69 = 542.49/x
  3. Step 3: Cross multiply
    935.49x = 1,290.69 × 542.49
  4. Step 4: Simplify right side
    935.49x = 700,186.42
  5. Step 5: Solve for x
    x = 700,186.42/935.49
  6. Step 6: Final answer
    x = 748.47

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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.