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Finding the Fourth Proportional to 1,158.65, 1,738.21 and 418.49

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Solution

The fourth proportional to 1,158.65, 1,738.21 and 418.49 is: 627.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.65 : 1,738.21 = 418.49 : x
  2. Step 2: Convert to fraction form
    1,158.65/1,738.21 = 418.49/x
  3. Step 3: Cross multiply
    1,158.65x = 1,738.21 × 418.49
  4. Step 4: Simplify right side
    1,158.65x = 727,425.96
  5. Step 5: Solve for x
    x = 727,425.96/1,158.65
  6. Step 6: Final answer
    x = 627.82

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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.