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Finding the Fourth Proportional to 1,040.62, 1,561.05 and 424.54

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Solution

The fourth proportional to 1,040.62, 1,561.05 and 424.54 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.62 : 1,561.05 = 424.54 : x
  2. Step 2: Convert to fraction form
    1,040.62/1,561.05 = 424.54/x
  3. Step 3: Cross multiply
    1,040.62x = 1,561.05 × 424.54
  4. Step 4: Simplify right side
    1,040.62x = 662,728.17
  5. Step 5: Solve for x
    x = 662,728.17/1,040.62
  6. Step 6: Final answer
    x = 636.86

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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.