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Finding the Fourth Proportional to 1,154.45, 1,593.78 and 860.42

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Solution

The fourth proportional to 1,154.45, 1,593.78 and 860.42 is: 1,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.45 : 1,593.78 = 860.42 : x
  2. Step 2: Convert to fraction form
    1,154.45/1,593.78 = 860.42/x
  3. Step 3: Cross multiply
    1,154.45x = 1,593.78 × 860.42
  4. Step 4: Simplify right side
    1,154.45x = 1,371,320.95
  5. Step 5: Solve for x
    x = 1,371,320.95/1,154.45
  6. Step 6: Final answer
    x = 1,187.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.