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Finding the Fourth Proportional to 807.04, 1,212.72 and 565.12

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Solution

The fourth proportional to 807.04, 1,212.72 and 565.12 is: 849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.04 : 1,212.72 = 565.12 : x
  2. Step 2: Convert to fraction form
    807.04/1,212.72 = 565.12/x
  3. Step 3: Cross multiply
    807.04x = 1,212.72 × 565.12
  4. Step 4: Simplify right side
    807.04x = 685,332.33
  5. Step 5: Solve for x
    x = 685,332.33/807.04
  6. Step 6: Final answer
    x = 849.19

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