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Finding the Fourth Proportional to 1,040.22, 1,559.61 and 462.78

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Solution

The fourth proportional to 1,040.22, 1,559.61 and 462.78 is: 693.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.22 : 1,559.61 = 462.78 : x
  2. Step 2: Convert to fraction form
    1,040.22/1,559.61 = 462.78/x
  3. Step 3: Cross multiply
    1,040.22x = 1,559.61 × 462.78
  4. Step 4: Simplify right side
    1,040.22x = 721,756.32
  5. Step 5: Solve for x
    x = 721,756.32/1,040.22
  6. Step 6: Final answer
    x = 693.85

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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.