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Finding the Fourth Proportional to 892.45, 1,230.96 and 627.45

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Solution

The fourth proportional to 892.45, 1,230.96 and 627.45 is: 865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.45 : 1,230.96 = 627.45 : x
  2. Step 2: Convert to fraction form
    892.45/1,230.96 = 627.45/x
  3. Step 3: Cross multiply
    892.45x = 1,230.96 × 627.45
  4. Step 4: Simplify right side
    892.45x = 772,363.59
  5. Step 5: Solve for x
    x = 772,363.59/892.45
  6. Step 6: Final answer
    x = 865.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.