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Finding the Fourth Proportional to 865.35, 1,295.64 and 656.49

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Solution

The fourth proportional to 865.35, 1,295.64 and 656.49 is: 982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.35 : 1,295.64 = 656.49 : x
  2. Step 2: Convert to fraction form
    865.35/1,295.64 = 656.49/x
  3. Step 3: Cross multiply
    865.35x = 1,295.64 × 656.49
  4. Step 4: Simplify right side
    865.35x = 850,574.70
  5. Step 5: Solve for x
    x = 850,574.70/865.35
  6. Step 6: Final answer
    x = 982.93

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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.