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Finding the Fourth Proportional to 900.14, 1,241.84 and 664.65

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Solution

The fourth proportional to 900.14, 1,241.84 and 664.65 is: 916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.14 : 1,241.84 = 664.65 : x
  2. Step 2: Convert to fraction form
    900.14/1,241.84 = 664.65/x
  3. Step 3: Cross multiply
    900.14x = 1,241.84 × 664.65
  4. Step 4: Simplify right side
    900.14x = 825,385.63
  5. Step 5: Solve for x
    x = 825,385.63/900.14
  6. Step 6: Final answer
    x = 916.96

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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.