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Finding the Fourth Proportional to 865.77, 1,195.61 and 617.10

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Solution

The fourth proportional to 865.77, 1,195.61 and 617.10 is: 852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.77 : 1,195.61 = 617.10 : x
  2. Step 2: Convert to fraction form
    865.77/1,195.61 = 617.10/x
  3. Step 3: Cross multiply
    865.77x = 1,195.61 × 617.10
  4. Step 4: Simplify right side
    865.77x = 737,807.85
  5. Step 5: Solve for x
    x = 737,807.85/865.77
  6. Step 6: Final answer
    x = 852.20

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Double scale
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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.