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Finding the Fourth Proportional to 1,471.96, 2,208.54 and 778.44

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Solution

The fourth proportional to 1,471.96, 2,208.54 and 778.44 is: 1,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.96 : 2,208.54 = 778.44 : x
  2. Step 2: Convert to fraction form
    1,471.96/2,208.54 = 778.44/x
  3. Step 3: Cross multiply
    1,471.96x = 2,208.54 × 778.44
  4. Step 4: Simplify right side
    1,471.96x = 1,719,215.88
  5. Step 5: Solve for x
    x = 1,719,215.88/1,471.96
  6. Step 6: Final answer
    x = 1,167.98

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1.5x scale

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.