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Finding the Fourth Proportional to 1,121.76, 1,679.16 and 1,026.08

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Solution

The fourth proportional to 1,121.76, 1,679.16 and 1,026.08 is: 1,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.76 : 1,679.16 = 1,026.08 : x
  2. Step 2: Convert to fraction form
    1,121.76/1,679.16 = 1,026.08/x
  3. Step 3: Cross multiply
    1,121.76x = 1,679.16 × 1,026.08
  4. Step 4: Simplify right side
    1,121.76x = 1,722,944.10
  5. Step 5: Solve for x
    x = 1,722,944.10/1,121.76
  6. Step 6: Final answer
    x = 1,535.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.