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Finding the Fourth Proportional to 1,847.28, 2,770.86 and 479.28

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Solution

The fourth proportional to 1,847.28, 2,770.86 and 479.28 is: 718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.28 : 2,770.86 = 479.28 : x
  2. Step 2: Convert to fraction form
    1,847.28/2,770.86 = 479.28/x
  3. Step 3: Cross multiply
    1,847.28x = 2,770.86 × 479.28
  4. Step 4: Simplify right side
    1,847.28x = 1,328,017.78
  5. Step 5: Solve for x
    x = 1,328,017.78/1,847.28
  6. Step 6: Final answer
    x = 718.90

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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.