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Finding the Fourth Proportional to 1,479.15, 2,219.04 and 439.16

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Solution

The fourth proportional to 1,479.15, 2,219.04 and 439.16 is: 658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.15 : 2,219.04 = 439.16 : x
  2. Step 2: Convert to fraction form
    1,479.15/2,219.04 = 439.16/x
  3. Step 3: Cross multiply
    1,479.15x = 2,219.04 × 439.16
  4. Step 4: Simplify right side
    1,479.15x = 974,502.51
  5. Step 5: Solve for x
    x = 974,502.51/1,479.15
  6. Step 6: Final answer
    x = 658.83

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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.