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Finding the Fourth Proportional to 1,142.97, 1,577.28 and 618.99

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Solution

The fourth proportional to 1,142.97, 1,577.28 and 618.99 is: 854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.97 : 1,577.28 = 618.99 : x
  2. Step 2: Convert to fraction form
    1,142.97/1,577.28 = 618.99/x
  3. Step 3: Cross multiply
    1,142.97x = 1,577.28 × 618.99
  4. Step 4: Simplify right side
    1,142.97x = 976,320.55
  5. Step 5: Solve for x
    x = 976,320.55/1,142.97
  6. Step 6: Final answer
    x = 854.20

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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.