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Finding the Fourth Proportional to 1,226.26, 1,691.35 and 778.26

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Solution

The fourth proportional to 1,226.26, 1,691.35 and 778.26 is: 1,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.26 : 1,691.35 = 778.26 : x
  2. Step 2: Convert to fraction form
    1,226.26/1,691.35 = 778.26/x
  3. Step 3: Cross multiply
    1,226.26x = 1,691.35 × 778.26
  4. Step 4: Simplify right side
    1,226.26x = 1,316,314.45
  5. Step 5: Solve for x
    x = 1,316,314.45/1,226.26
  6. Step 6: Final answer
    x = 1,073.44

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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.