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Finding the Fourth Proportional to 1,151.64, 1,726.07 and 420.81

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Solution

The fourth proportional to 1,151.64, 1,726.07 and 420.81 is: 630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.64 : 1,726.07 = 420.81 : x
  2. Step 2: Convert to fraction form
    1,151.64/1,726.07 = 420.81/x
  3. Step 3: Cross multiply
    1,151.64x = 1,726.07 × 420.81
  4. Step 4: Simplify right side
    1,151.64x = 726,345.41
  5. Step 5: Solve for x
    x = 726,345.41/1,151.64
  6. Step 6: Final answer
    x = 630.71

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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.