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Finding the Fourth Proportional to 807.33, 1,211.01 and 320.13

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Solution

The fourth proportional to 807.33, 1,211.01 and 320.13 is: 480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.33 : 1,211.01 = 320.13 : x
  2. Step 2: Convert to fraction form
    807.33/1,211.01 = 320.13/x
  3. Step 3: Cross multiply
    807.33x = 1,211.01 × 320.13
  4. Step 4: Simplify right side
    807.33x = 387,680.63
  5. Step 5: Solve for x
    x = 387,680.63/807.33
  6. Step 6: Final answer
    x = 480.20

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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.