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Finding the Fourth Proportional to 3,197.06, 4,795.47 and 792.78

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Solution

The fourth proportional to 3,197.06, 4,795.47 and 792.78 is: 1,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.06 : 4,795.47 = 792.78 : x
  2. Step 2: Convert to fraction form
    3,197.06/4,795.47 = 792.78/x
  3. Step 3: Cross multiply
    3,197.06x = 4,795.47 × 792.78
  4. Step 4: Simplify right side
    3,197.06x = 3,801,752.71
  5. Step 5: Solve for x
    x = 3,801,752.71/3,197.06
  6. Step 6: Final answer
    x = 1,189.14

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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.