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Finding the Fourth Proportional to 1,111.60, 1,527.88 and 979.84

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Solution

The fourth proportional to 1,111.60, 1,527.88 and 979.84 is: 1,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.60 : 1,527.88 = 979.84 : x
  2. Step 2: Convert to fraction form
    1,111.60/1,527.88 = 979.84/x
  3. Step 3: Cross multiply
    1,111.60x = 1,527.88 × 979.84
  4. Step 4: Simplify right side
    1,111.60x = 1,497,077.94
  5. Step 5: Solve for x
    x = 1,497,077.94/1,111.60
  6. Step 6: Final answer
    x = 1,346.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.