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Finding the Fourth Proportional to 863.62, 1,294.77 and 431.08

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Solution

The fourth proportional to 863.62, 1,294.77 and 431.08 is: 646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.62 : 1,294.77 = 431.08 : x
  2. Step 2: Convert to fraction form
    863.62/1,294.77 = 431.08/x
  3. Step 3: Cross multiply
    863.62x = 1,294.77 × 431.08
  4. Step 4: Simplify right side
    863.62x = 558,149.45
  5. Step 5: Solve for x
    x = 558,149.45/863.62
  6. Step 6: Final answer
    x = 646.29

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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.