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Finding the Fourth Proportional to 1,117.16, 1,540.96 and 880.74

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Solution

The fourth proportional to 1,117.16, 1,540.96 and 880.74 is: 1,214.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.16 : 1,540.96 = 880.74 : x
  2. Step 2: Convert to fraction form
    1,117.16/1,540.96 = 880.74/x
  3. Step 3: Cross multiply
    1,117.16x = 1,540.96 × 880.74
  4. Step 4: Simplify right side
    1,117.16x = 1,357,182.91
  5. Step 5: Solve for x
    x = 1,357,182.91/1,117.16
  6. Step 6: Final answer
    x = 1,214.85

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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.