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Finding the Fourth Proportional to 1,142.87, 1,577.16 and 618.90

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Solution

The fourth proportional to 1,142.87, 1,577.16 and 618.90 is: 854.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.87 : 1,577.16 = 618.90 : x
  2. Step 2: Convert to fraction form
    1,142.87/1,577.16 = 618.90/x
  3. Step 3: Cross multiply
    1,142.87x = 1,577.16 × 618.90
  4. Step 4: Simplify right side
    1,142.87x = 976,104.32
  5. Step 5: Solve for x
    x = 976,104.32/1,142.87
  6. Step 6: Final answer
    x = 854.08

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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.