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Finding the Fourth Proportional to 699.78, 1,049.12 and 314.76

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Solution

The fourth proportional to 699.78, 1,049.12 and 314.76 is: 471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.78 : 1,049.12 = 314.76 : x
  2. Step 2: Convert to fraction form
    699.78/1,049.12 = 314.76/x
  3. Step 3: Cross multiply
    699.78x = 1,049.12 × 314.76
  4. Step 4: Simplify right side
    699.78x = 330,221.01
  5. Step 5: Solve for x
    x = 330,221.01/699.78
  6. Step 6: Final answer
    x = 471.89

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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.