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Finding the Fourth Proportional to 1,032.76, 1,425.94 and 634.95

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Solution

The fourth proportional to 1,032.76, 1,425.94 and 634.95 is: 876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.76 : 1,425.94 = 634.95 : x
  2. Step 2: Convert to fraction form
    1,032.76/1,425.94 = 634.95/x
  3. Step 3: Cross multiply
    1,032.76x = 1,425.94 × 634.95
  4. Step 4: Simplify right side
    1,032.76x = 905,403.97
  5. Step 5: Solve for x
    x = 905,403.97/1,032.76
  6. Step 6: Final answer
    x = 876.69

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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.