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Finding the Fourth Proportional to 1,540.74, 2,312.12 and 566.85

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Solution

The fourth proportional to 1,540.74, 2,312.12 and 566.85 is: 850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.74 : 2,312.12 = 566.85 : x
  2. Step 2: Convert to fraction form
    1,540.74/2,312.12 = 566.85/x
  3. Step 3: Cross multiply
    1,540.74x = 2,312.12 × 566.85
  4. Step 4: Simplify right side
    1,540.74x = 1,310,625.22
  5. Step 5: Solve for x
    x = 1,310,625.22/1,540.74
  6. Step 6: Final answer
    x = 850.65

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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.