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Finding the Fourth Proportional to 1,479.70, 2,219.34 and 505.66

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Solution

The fourth proportional to 1,479.70, 2,219.34 and 505.66 is: 758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.70 : 2,219.34 = 505.66 : x
  2. Step 2: Convert to fraction form
    1,479.70/2,219.34 = 505.66/x
  3. Step 3: Cross multiply
    1,479.70x = 2,219.34 × 505.66
  4. Step 4: Simplify right side
    1,479.70x = 1,122,231.46
  5. Step 5: Solve for x
    x = 1,122,231.46/1,479.70
  6. Step 6: Final answer
    x = 758.42

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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.