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Finding the Fourth Proportional to 1,407.66, 2,108.31 and 677.78

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Solution

The fourth proportional to 1,407.66, 2,108.31 and 677.78 is: 1,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.66 : 2,108.31 = 677.78 : x
  2. Step 2: Convert to fraction form
    1,407.66/2,108.31 = 677.78/x
  3. Step 3: Cross multiply
    1,407.66x = 2,108.31 × 677.78
  4. Step 4: Simplify right side
    1,407.66x = 1,428,965.08
  5. Step 5: Solve for x
    x = 1,428,965.08/1,407.66
  6. Step 6: Final answer
    x = 1,015.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.