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Finding the Fourth Proportional to 1,230.78, 1,846.54 and 792.22

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Solution

The fourth proportional to 1,230.78, 1,846.54 and 792.22 is: 1,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.78 : 1,846.54 = 792.22 : x
  2. Step 2: Convert to fraction form
    1,230.78/1,846.54 = 792.22/x
  3. Step 3: Cross multiply
    1,230.78x = 1,846.54 × 792.22
  4. Step 4: Simplify right side
    1,230.78x = 1,462,865.92
  5. Step 5: Solve for x
    x = 1,462,865.92/1,230.78
  6. Step 6: Final answer
    x = 1,188.57

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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.