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Finding the Fourth Proportional to 1,142.84, 1,577.13 and 677

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Solution

The fourth proportional to 1,142.84, 1,577.13 and 677 is: 934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.84 : 1,577.13 = 677 : x
  2. Step 2: Convert to fraction form
    1,142.84/1,577.13 = 677/x
  3. Step 3: Cross multiply
    1,142.84x = 1,577.13 × 677
  4. Step 4: Simplify right side
    1,142.84x = 1,067,717.01
  5. Step 5: Solve for x
    x = 1,067,717.01/1,142.84
  6. Step 6: Final answer
    x = 934.27

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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.