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Finding the Fourth Proportional to 1,033.54, 1,425.96 and 634.78

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Solution

The fourth proportional to 1,033.54, 1,425.96 and 634.78 is: 875.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.54 : 1,425.96 = 634.78 : x
  2. Step 2: Convert to fraction form
    1,033.54/1,425.96 = 634.78/x
  3. Step 3: Cross multiply
    1,033.54x = 1,425.96 × 634.78
  4. Step 4: Simplify right side
    1,033.54x = 905,172.67
  5. Step 5: Solve for x
    x = 905,172.67/1,033.54
  6. Step 6: Final answer
    x = 875.80

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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.