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Finding the Fourth Proportional to 1,151.59, 1,726.32 and 420.97

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Solution

The fourth proportional to 1,151.59, 1,726.32 and 420.97 is: 631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.59 : 1,726.32 = 420.97 : x
  2. Step 2: Convert to fraction form
    1,151.59/1,726.32 = 420.97/x
  3. Step 3: Cross multiply
    1,151.59x = 1,726.32 × 420.97
  4. Step 4: Simplify right side
    1,151.59x = 726,728.93
  5. Step 5: Solve for x
    x = 726,728.93/1,151.59
  6. Step 6: Final answer
    x = 631.07

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Why These Related Problems?

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