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Finding the Fourth Proportional to 807.71, 1,211.56 and 345.10

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Solution

The fourth proportional to 807.71, 1,211.56 and 345.10 is: 517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.71 : 1,211.56 = 345.10 : x
  2. Step 2: Convert to fraction form
    807.71/1,211.56 = 345.10/x
  3. Step 3: Cross multiply
    807.71x = 1,211.56 × 345.10
  4. Step 4: Simplify right side
    807.71x = 418,102.44
  5. Step 5: Solve for x
    x = 418,102.44/807.71
  6. Step 6: Final answer
    x = 517.64

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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.