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Finding the Fourth Proportional to 1,158.77, 1,738.22 and 418.55

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Solution

The fourth proportional to 1,158.77, 1,738.22 and 418.55 is: 627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.77 : 1,738.22 = 418.55 : x
  2. Step 2: Convert to fraction form
    1,158.77/1,738.22 = 418.55/x
  3. Step 3: Cross multiply
    1,158.77x = 1,738.22 × 418.55
  4. Step 4: Simplify right side
    1,158.77x = 727,521.20
  5. Step 5: Solve for x
    x = 727,521.20/1,158.77
  6. Step 6: Final answer
    x = 627.84

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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.