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Finding the Fourth Proportional to 863.32, 1,193.12 and 653.42

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Solution

The fourth proportional to 863.32, 1,193.12 and 653.42 is: 903.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.32 : 1,193.12 = 653.42 : x
  2. Step 2: Convert to fraction form
    863.32/1,193.12 = 653.42/x
  3. Step 3: Cross multiply
    863.32x = 1,193.12 × 653.42
  4. Step 4: Simplify right side
    863.32x = 779,608.47
  5. Step 5: Solve for x
    x = 779,608.47/863.32
  6. Step 6: Final answer
    x = 903.04

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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.