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Finding the Fourth Proportional to 679.42, 1,019.54 and 447.76

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Solution

The fourth proportional to 679.42, 1,019.54 and 447.76 is: 671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.42 : 1,019.54 = 447.76 : x
  2. Step 2: Convert to fraction form
    679.42/1,019.54 = 447.76/x
  3. Step 3: Cross multiply
    679.42x = 1,019.54 × 447.76
  4. Step 4: Simplify right side
    679.42x = 456,509.23
  5. Step 5: Solve for x
    x = 456,509.23/679.42
  6. Step 6: Final answer
    x = 671.91

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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.