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Finding the Fourth Proportional to 807.67, 1,209.66 and 482.37

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Solution

The fourth proportional to 807.67, 1,209.66 and 482.37 is: 722.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.67 : 1,209.66 = 482.37 : x
  2. Step 2: Convert to fraction form
    807.67/1,209.66 = 482.37/x
  3. Step 3: Cross multiply
    807.67x = 1,209.66 × 482.37
  4. Step 4: Simplify right side
    807.67x = 583,503.69
  5. Step 5: Solve for x
    x = 583,503.69/807.67
  6. Step 6: Final answer
    x = 722.45

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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.