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Finding the Fourth Proportional to 1,778.31, 2,667.47 and 479.88

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Solution

The fourth proportional to 1,778.31, 2,667.47 and 479.88 is: 719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.31 : 2,667.47 = 479.88 : x
  2. Step 2: Convert to fraction form
    1,778.31/2,667.47 = 479.88/x
  3. Step 3: Cross multiply
    1,778.31x = 2,667.47 × 479.88
  4. Step 4: Simplify right side
    1,778.31x = 1,280,063.10
  5. Step 5: Solve for x
    x = 1,280,063.10/1,778.31
  6. Step 6: Final answer
    x = 719.82

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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.