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Finding the Fourth Proportional to 1,278.29, 1,763.16 and 1,112.24

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Solution

The fourth proportional to 1,278.29, 1,763.16 and 1,112.24 is: 1,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.29 : 1,763.16 = 1,112.24 : x
  2. Step 2: Convert to fraction form
    1,278.29/1,763.16 = 1,112.24/x
  3. Step 3: Cross multiply
    1,278.29x = 1,763.16 × 1,112.24
  4. Step 4: Simplify right side
    1,278.29x = 1,961,057.08
  5. Step 5: Solve for x
    x = 1,961,057.08/1,278.29
  6. Step 6: Final answer
    x = 1,534.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.