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Finding the Fourth Proportional to 805.04, 1,209.72 and 563.12

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Solution

The fourth proportional to 805.04, 1,209.72 and 563.12 is: 846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.04 : 1,209.72 = 563.12 : x
  2. Step 2: Convert to fraction form
    805.04/1,209.72 = 563.12/x
  3. Step 3: Cross multiply
    805.04x = 1,209.72 × 563.12
  4. Step 4: Simplify right side
    805.04x = 681,217.53
  5. Step 5: Solve for x
    x = 681,217.53/805.04
  6. Step 6: Final answer
    x = 846.19

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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.