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Finding the Fourth Proportional to 898.68, 1,241.16 and 800.26

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Solution

The fourth proportional to 898.68, 1,241.16 and 800.26 is: 1,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.68 : 1,241.16 = 800.26 : x
  2. Step 2: Convert to fraction form
    898.68/1,241.16 = 800.26/x
  3. Step 3: Cross multiply
    898.68x = 1,241.16 × 800.26
  4. Step 4: Simplify right side
    898.68x = 993,250.70
  5. Step 5: Solve for x
    x = 993,250.70/898.68
  6. Step 6: Final answer
    x = 1,105.23

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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.