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Finding the Fourth Proportional to 1,150.79, 1,726.88 and 420.42

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Solution

The fourth proportional to 1,150.79, 1,726.88 and 420.42 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.79 : 1,726.88 = 420.42 : x
  2. Step 2: Convert to fraction form
    1,150.79/1,726.88 = 420.42/x
  3. Step 3: Cross multiply
    1,150.79x = 1,726.88 × 420.42
  4. Step 4: Simplify right side
    1,150.79x = 726,012.79
  5. Step 5: Solve for x
    x = 726,012.79/1,150.79
  6. Step 6: Final answer
    x = 630.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.