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Finding the Fourth Proportional to 807.59, 1,209.10 and 514.36

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Solution

The fourth proportional to 807.59, 1,209.10 and 514.36 is: 770.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.59 : 1,209.10 = 514.36 : x
  2. Step 2: Convert to fraction form
    807.59/1,209.10 = 514.36/x
  3. Step 3: Cross multiply
    807.59x = 1,209.10 × 514.36
  4. Step 4: Simplify right side
    807.59x = 621,913.87
  5. Step 5: Solve for x
    x = 621,913.87/807.59
  6. Step 6: Final answer
    x = 770.09

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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.