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Finding the Fourth Proportional to 1,649.38, 2,474.49 and 479.36

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Solution

The fourth proportional to 1,649.38, 2,474.49 and 479.36 is: 719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.38 : 2,474.49 = 479.36 : x
  2. Step 2: Convert to fraction form
    1,649.38/2,474.49 = 479.36/x
  3. Step 3: Cross multiply
    1,649.38x = 2,474.49 × 479.36
  4. Step 4: Simplify right side
    1,649.38x = 1,186,160.26
  5. Step 5: Solve for x
    x = 1,186,160.26/1,649.38
  6. Step 6: Final answer
    x = 719.15

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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.