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Finding the Fourth Proportional to 1,142.97, 1,577.30 and 619

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Solution

The fourth proportional to 1,142.97, 1,577.30 and 619 is: 854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.97 : 1,577.30 = 619 : x
  2. Step 2: Convert to fraction form
    1,142.97/1,577.30 = 619/x
  3. Step 3: Cross multiply
    1,142.97x = 1,577.30 × 619
  4. Step 4: Simplify right side
    1,142.97x = 976,348.70
  5. Step 5: Solve for x
    x = 976,348.70/1,142.97
  6. Step 6: Final answer
    x = 854.22

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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.