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Finding the Fourth Proportional to 900.32, 1,241.54 and 800.42

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Solution

The fourth proportional to 900.32, 1,241.54 and 800.42 is: 1,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.32 : 1,241.54 = 800.42 : x
  2. Step 2: Convert to fraction form
    900.32/1,241.54 = 800.42/x
  3. Step 3: Cross multiply
    900.32x = 1,241.54 × 800.42
  4. Step 4: Simplify right side
    900.32x = 993,750.89
  5. Step 5: Solve for x
    x = 993,750.89/900.32
  6. Step 6: Final answer
    x = 1,103.78

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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.