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Finding the Fourth Proportional to 935.72, 1,290.78 and 760.76

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Solution

The fourth proportional to 935.72, 1,290.78 and 760.76 is: 1,049.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.72 : 1,290.78 = 760.76 : x
  2. Step 2: Convert to fraction form
    935.72/1,290.78 = 760.76/x
  3. Step 3: Cross multiply
    935.72x = 1,290.78 × 760.76
  4. Step 4: Simplify right side
    935.72x = 981,973.79
  5. Step 5: Solve for x
    x = 981,973.79/935.72
  6. Step 6: Final answer
    x = 1,049.43

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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.