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Finding the Fourth Proportional to 904.11, 1,354.90 and 440.97

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Solution

The fourth proportional to 904.11, 1,354.90 and 440.97 is: 660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.11 : 1,354.90 = 440.97 : x
  2. Step 2: Convert to fraction form
    904.11/1,354.90 = 440.97/x
  3. Step 3: Cross multiply
    904.11x = 1,354.90 × 440.97
  4. Step 4: Simplify right side
    904.11x = 597,470.25
  5. Step 5: Solve for x
    x = 597,470.25/904.11
  6. Step 6: Final answer
    x = 660.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.