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Finding the Fourth Proportional to 865.66, 1,297.41 and 432.94

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Solution

The fourth proportional to 865.66, 1,297.41 and 432.94 is: 648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.66 : 1,297.41 = 432.94 : x
  2. Step 2: Convert to fraction form
    865.66/1,297.41 = 432.94/x
  3. Step 3: Cross multiply
    865.66x = 1,297.41 × 432.94
  4. Step 4: Simplify right side
    865.66x = 561,700.69
  5. Step 5: Solve for x
    x = 561,700.69/865.66
  6. Step 6: Final answer
    x = 648.87

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Double scale
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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.