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Finding the Fourth Proportional to 1,142.92, 1,577.22 and 618.95

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Solution

The fourth proportional to 1,142.92, 1,577.22 and 618.95 is: 854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.92 : 1,577.22 = 618.95 : x
  2. Step 2: Convert to fraction form
    1,142.92/1,577.22 = 618.95/x
  3. Step 3: Cross multiply
    1,142.92x = 1,577.22 × 618.95
  4. Step 4: Simplify right side
    1,142.92x = 976,212.43
  5. Step 5: Solve for x
    x = 976,212.43/1,142.92
  6. Step 6: Final answer
    x = 854.14

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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.