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Finding the Fourth Proportional to 1,041.52, 1,562.28 and 311.61

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Solution

The fourth proportional to 1,041.52, 1,562.28 and 311.61 is: 467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.52 : 1,562.28 = 311.61 : x
  2. Step 2: Convert to fraction form
    1,041.52/1,562.28 = 311.61/x
  3. Step 3: Cross multiply
    1,041.52x = 1,562.28 × 311.61
  4. Step 4: Simplify right side
    1,041.52x = 486,822.07
  5. Step 5: Solve for x
    x = 486,822.07/1,041.52
  6. Step 6: Final answer
    x = 467.42

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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.