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Finding the Fourth Proportional to 1,226.12, 1,691.22 and 853.16

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Solution

The fourth proportional to 1,226.12, 1,691.22 and 853.16 is: 1,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.12 : 1,691.22 = 853.16 : x
  2. Step 2: Convert to fraction form
    1,226.12/1,691.22 = 853.16/x
  3. Step 3: Cross multiply
    1,226.12x = 1,691.22 × 853.16
  4. Step 4: Simplify right side
    1,226.12x = 1,442,881.26
  5. Step 5: Solve for x
    x = 1,442,881.26/1,226.12
  6. Step 6: Final answer
    x = 1,176.79

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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.