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Finding the Fourth Proportional to 807.80, 1,209.51 and 422.24

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Solution

The fourth proportional to 807.80, 1,209.51 and 422.24 is: 632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.80 : 1,209.51 = 422.24 : x
  2. Step 2: Convert to fraction form
    807.80/1,209.51 = 422.24/x
  3. Step 3: Cross multiply
    807.80x = 1,209.51 × 422.24
  4. Step 4: Simplify right side
    807.80x = 510,697.45
  5. Step 5: Solve for x
    x = 510,697.45/807.80
  6. Step 6: Final answer
    x = 632.21

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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.