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Finding the Fourth Proportional to 1,479.71, 2,219.13 and 439.67

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Solution

The fourth proportional to 1,479.71, 2,219.13 and 439.67 is: 659.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.71 : 2,219.13 = 439.67 : x
  2. Step 2: Convert to fraction form
    1,479.71/2,219.13 = 439.67/x
  3. Step 3: Cross multiply
    1,479.71x = 2,219.13 × 439.67
  4. Step 4: Simplify right side
    1,479.71x = 975,673.79
  5. Step 5: Solve for x
    x = 975,673.79/1,479.71
  6. Step 6: Final answer
    x = 659.37

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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.