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Finding the Fourth Proportional to 699.38, 1,049.28 and 479.48

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Solution

The fourth proportional to 699.38, 1,049.28 and 479.48 is: 719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.38 : 1,049.28 = 479.48 : x
  2. Step 2: Convert to fraction form
    699.38/1,049.28 = 479.48/x
  3. Step 3: Cross multiply
    699.38x = 1,049.28 × 479.48
  4. Step 4: Simplify right side
    699.38x = 503,108.77
  5. Step 5: Solve for x
    x = 503,108.77/699.38
  6. Step 6: Final answer
    x = 719.36

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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.