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Finding the Fourth Proportional to 680.45, 1,019.16 and 314.13

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Solution

The fourth proportional to 680.45, 1,019.16 and 314.13 is: 470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.45 : 1,019.16 = 314.13 : x
  2. Step 2: Convert to fraction form
    680.45/1,019.16 = 314.13/x
  3. Step 3: Cross multiply
    680.45x = 1,019.16 × 314.13
  4. Step 4: Simplify right side
    680.45x = 320,148.73
  5. Step 5: Solve for x
    x = 320,148.73/680.45
  6. Step 6: Final answer
    x = 470.49

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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.