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Finding the Fourth Proportional to 1,151.55, 1,726.65 and 786.78

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Solution

The fourth proportional to 1,151.55, 1,726.65 and 786.78 is: 1,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.55 : 1,726.65 = 786.78 : x
  2. Step 2: Convert to fraction form
    1,151.55/1,726.65 = 786.78/x
  3. Step 3: Cross multiply
    1,151.55x = 1,726.65 × 786.78
  4. Step 4: Simplify right side
    1,151.55x = 1,358,493.69
  5. Step 5: Solve for x
    x = 1,358,493.69/1,151.55
  6. Step 6: Final answer
    x = 1,179.71

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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.