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Finding the Fourth Proportional to 1,045.22, 1,566.77 and 674.78

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Solution

The fourth proportional to 1,045.22, 1,566.77 and 674.78 is: 1,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.22 : 1,566.77 = 674.78 : x
  2. Step 2: Convert to fraction form
    1,045.22/1,566.77 = 674.78/x
  3. Step 3: Cross multiply
    1,045.22x = 1,566.77 × 674.78
  4. Step 4: Simplify right side
    1,045.22x = 1,057,213.85
  5. Step 5: Solve for x
    x = 1,057,213.85/1,045.22
  6. Step 6: Final answer
    x = 1,011.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.