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Finding the Fourth Proportional to 1,039.52, 1,557.93 and 422.89

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Solution

The fourth proportional to 1,039.52, 1,557.93 and 422.89 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.52 : 1,557.93 = 422.89 : x
  2. Step 2: Convert to fraction form
    1,039.52/1,557.93 = 422.89/x
  3. Step 3: Cross multiply
    1,039.52x = 1,557.93 × 422.89
  4. Step 4: Simplify right side
    1,039.52x = 658,830.71
  5. Step 5: Solve for x
    x = 658,830.71/1,039.52
  6. Step 6: Final answer
    x = 633.78

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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.