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Finding the Fourth Proportional to 1,158.88, 1,738.13 and 378.87

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Solution

The fourth proportional to 1,158.88, 1,738.13 and 378.87 is: 568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.88 : 1,738.13 = 378.87 : x
  2. Step 2: Convert to fraction form
    1,158.88/1,738.13 = 378.87/x
  3. Step 3: Cross multiply
    1,158.88x = 1,738.13 × 378.87
  4. Step 4: Simplify right side
    1,158.88x = 658,532.78
  5. Step 5: Solve for x
    x = 658,532.78/1,158.88
  6. Step 6: Final answer
    x = 568.25

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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.