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Finding the Fourth Proportional to 679.84, 1,019.76 and 314.56

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Solution

The fourth proportional to 679.84, 1,019.76 and 314.56 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.84 : 1,019.76 = 314.56 : x
  2. Step 2: Convert to fraction form
    679.84/1,019.76 = 314.56/x
  3. Step 3: Cross multiply
    679.84x = 1,019.76 × 314.56
  4. Step 4: Simplify right side
    679.84x = 320,775.71
  5. Step 5: Solve for x
    x = 320,775.71/679.84
  6. Step 6: Final answer
    x = 471.84

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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.