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Finding the Fourth Proportional to 807, 1,209.54 and 441.60

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Solution

The fourth proportional to 807, 1,209.54 and 441.60 is: 661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    807 : 1,209.54 = 441.60 : x
  2. Step 2: Convert to fraction form
    807/1,209.54 = 441.60/x
  3. Step 3: Cross multiply
    807x = 1,209.54 × 441.60
  4. Step 4: Simplify right side
    807x = 534,132.86
  5. Step 5: Solve for x
    x = 534,132.86/807
  6. Step 6: Final answer
    x = 661.87

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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.