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Finding the Fourth Proportional to 1,097.42, 1,514.77 and 677.90

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Solution

The fourth proportional to 1,097.42, 1,514.77 and 677.90 is: 935.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.42 : 1,514.77 = 677.90 : x
  2. Step 2: Convert to fraction form
    1,097.42/1,514.77 = 677.90/x
  3. Step 3: Cross multiply
    1,097.42x = 1,514.77 × 677.90
  4. Step 4: Simplify right side
    1,097.42x = 1,026,862.58
  5. Step 5: Solve for x
    x = 1,026,862.58/1,097.42
  6. Step 6: Final answer
    x = 935.71

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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.