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Finding the Fourth Proportional to 807.68, 1,211.13 and 314.31

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Solution

The fourth proportional to 807.68, 1,211.13 and 314.31 is: 471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.68 : 1,211.13 = 314.31 : x
  2. Step 2: Convert to fraction form
    807.68/1,211.13 = 314.31/x
  3. Step 3: Cross multiply
    807.68x = 1,211.13 × 314.31
  4. Step 4: Simplify right side
    807.68x = 380,670.27
  5. Step 5: Solve for x
    x = 380,670.27/807.68
  6. Step 6: Final answer
    x = 471.32

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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.