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Finding the Fourth Proportional to 1,117.28, 1,679.16 and 825.68

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Solution

The fourth proportional to 1,117.28, 1,679.16 and 825.68 is: 1,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.28 : 1,679.16 = 825.68 : x
  2. Step 2: Convert to fraction form
    1,117.28/1,679.16 = 825.68/x
  3. Step 3: Cross multiply
    1,117.28x = 1,679.16 × 825.68
  4. Step 4: Simplify right side
    1,117.28x = 1,386,448.83
  5. Step 5: Solve for x
    x = 1,386,448.83/1,117.28
  6. Step 6: Final answer
    x = 1,240.91

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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.