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Finding the Fourth Proportional to 849.78, 1,274.13 and 575.46

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Solution

The fourth proportional to 849.78, 1,274.13 and 575.46 is: 862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.78 : 1,274.13 = 575.46 : x
  2. Step 2: Convert to fraction form
    849.78/1,274.13 = 575.46/x
  3. Step 3: Cross multiply
    849.78x = 1,274.13 × 575.46
  4. Step 4: Simplify right side
    849.78x = 733,210.85
  5. Step 5: Solve for x
    x = 733,210.85/849.78
  6. Step 6: Final answer
    x = 862.82

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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.