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Finding the Fourth Proportional to 1,042.54, 1,438.03 and 622.60

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Solution

The fourth proportional to 1,042.54, 1,438.03 and 622.60 is: 858.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.54 : 1,438.03 = 622.60 : x
  2. Step 2: Convert to fraction form
    1,042.54/1,438.03 = 622.60/x
  3. Step 3: Cross multiply
    1,042.54x = 1,438.03 × 622.60
  4. Step 4: Simplify right side
    1,042.54x = 895,317.48
  5. Step 5: Solve for x
    x = 895,317.48/1,042.54
  6. Step 6: Final answer
    x = 858.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.