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Finding the Fourth Proportional to 806.72, 1,209.53 and 373.64

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Solution

The fourth proportional to 806.72, 1,209.53 and 373.64 is: 560.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.72 : 1,209.53 = 373.64 : x
  2. Step 2: Convert to fraction form
    806.72/1,209.53 = 373.64/x
  3. Step 3: Cross multiply
    806.72x = 1,209.53 × 373.64
  4. Step 4: Simplify right side
    806.72x = 451,923.68
  5. Step 5: Solve for x
    x = 451,923.68/806.72
  6. Step 6: Final answer
    x = 560.20

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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.