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Finding the Fourth Proportional to 1,278.79, 1,763.85 and 1,112.74

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Solution

The fourth proportional to 1,278.79, 1,763.85 and 1,112.74 is: 1,534.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.79 : 1,763.85 = 1,112.74 : x
  2. Step 2: Convert to fraction form
    1,278.79/1,763.85 = 1,112.74/x
  3. Step 3: Cross multiply
    1,278.79x = 1,763.85 × 1,112.74
  4. Step 4: Simplify right side
    1,278.79x = 1,962,706.45
  5. Step 5: Solve for x
    x = 1,962,706.45/1,278.79
  6. Step 6: Final answer
    x = 1,534.82

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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.