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Finding the Fourth Proportional to 1,151.96, 1,726.97 and 459.14

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Solution

The fourth proportional to 1,151.96, 1,726.97 and 459.14 is: 688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.96 : 1,726.97 = 459.14 : x
  2. Step 2: Convert to fraction form
    1,151.96/1,726.97 = 459.14/x
  3. Step 3: Cross multiply
    1,151.96x = 1,726.97 × 459.14
  4. Step 4: Simplify right side
    1,151.96x = 792,910.08
  5. Step 5: Solve for x
    x = 792,910.08/1,151.96
  6. Step 6: Final answer
    x = 688.32

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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.