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Finding the Fourth Proportional to 1,118.52, 1,541.10 and 977.56

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Solution

The fourth proportional to 1,118.52, 1,541.10 and 977.56 is: 1,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.52 : 1,541.10 = 977.56 : x
  2. Step 2: Convert to fraction form
    1,118.52/1,541.10 = 977.56/x
  3. Step 3: Cross multiply
    1,118.52x = 1,541.10 × 977.56
  4. Step 4: Simplify right side
    1,118.52x = 1,506,517.72
  5. Step 5: Solve for x
    x = 1,506,517.72/1,118.52
  6. Step 6: Final answer
    x = 1,346.88

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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.