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Finding the Fourth Proportional to 1,480, 2,219.94 and 439.96

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Solution

The fourth proportional to 1,480, 2,219.94 and 439.96 is: 659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480 : 2,219.94 = 439.96 : x
  2. Step 2: Convert to fraction form
    1,480/2,219.94 = 439.96/x
  3. Step 3: Cross multiply
    1,480x = 2,219.94 × 439.96
  4. Step 4: Simplify right side
    1,480x = 976,684.80
  5. Step 5: Solve for x
    x = 976,684.80/1,480
  6. Step 6: Final answer
    x = 659.92

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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.