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Finding the Fourth Proportional to 1,462.75, 2,194.12 and 488.85

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Solution

The fourth proportional to 1,462.75, 2,194.12 and 488.85 is: 733.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.75 : 2,194.12 = 488.85 : x
  2. Step 2: Convert to fraction form
    1,462.75/2,194.12 = 488.85/x
  3. Step 3: Cross multiply
    1,462.75x = 2,194.12 × 488.85
  4. Step 4: Simplify right side
    1,462.75x = 1,072,590.00
  5. Step 5: Solve for x
    x = 1,072,590.00/1,462.75
  6. Step 6: Final answer
    x = 733.27

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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.