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Finding the Fourth Proportional to 1,151.42, 1,726.77 and 420.83

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Solution

The fourth proportional to 1,151.42, 1,726.77 and 420.83 is: 631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.42 : 1,726.77 = 420.83 : x
  2. Step 2: Convert to fraction form
    1,151.42/1,726.77 = 420.83/x
  3. Step 3: Cross multiply
    1,151.42x = 1,726.77 × 420.83
  4. Step 4: Simplify right side
    1,151.42x = 726,676.62
  5. Step 5: Solve for x
    x = 726,676.62/1,151.42
  6. Step 6: Final answer
    x = 631.11

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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.