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Finding the Fourth Proportional to 894.57, 1,234.21 and 580.25

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Solution

The fourth proportional to 894.57, 1,234.21 and 580.25 is: 800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.57 : 1,234.21 = 580.25 : x
  2. Step 2: Convert to fraction form
    894.57/1,234.21 = 580.25/x
  3. Step 3: Cross multiply
    894.57x = 1,234.21 × 580.25
  4. Step 4: Simplify right side
    894.57x = 716,149.54
  5. Step 5: Solve for x
    x = 716,149.54/894.57
  6. Step 6: Final answer
    x = 800.55

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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.