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Finding the Fourth Proportional to 1,078.88, 1,487.03 and 891.77

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Solution

The fourth proportional to 1,078.88, 1,487.03 and 891.77 is: 1,229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.88 : 1,487.03 = 891.77 : x
  2. Step 2: Convert to fraction form
    1,078.88/1,487.03 = 891.77/x
  3. Step 3: Cross multiply
    1,078.88x = 1,487.03 × 891.77
  4. Step 4: Simplify right side
    1,078.88x = 1,326,076.85
  5. Step 5: Solve for x
    x = 1,326,076.85/1,078.88
  6. Step 6: Final answer
    x = 1,229.13

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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.