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Finding the Fourth Proportional to 1,778.42, 2,667.77 and 479.87

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Solution

The fourth proportional to 1,778.42, 2,667.77 and 479.87 is: 719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.42 : 2,667.77 = 479.87 : x
  2. Step 2: Convert to fraction form
    1,778.42/2,667.77 = 479.87/x
  3. Step 3: Cross multiply
    1,778.42x = 2,667.77 × 479.87
  4. Step 4: Simplify right side
    1,778.42x = 1,280,176.12
  5. Step 5: Solve for x
    x = 1,280,176.12/1,778.42
  6. Step 6: Final answer
    x = 719.84

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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.