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Finding the Fourth Proportional to 1,041.78, 1,562.74 and 392.56

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Solution

The fourth proportional to 1,041.78, 1,562.74 and 392.56 is: 588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.78 : 1,562.74 = 392.56 : x
  2. Step 2: Convert to fraction form
    1,041.78/1,562.74 = 392.56/x
  3. Step 3: Cross multiply
    1,041.78x = 1,562.74 × 392.56
  4. Step 4: Simplify right side
    1,041.78x = 613,469.21
  5. Step 5: Solve for x
    x = 613,469.21/1,041.78
  6. Step 6: Final answer
    x = 588.87

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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.