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Finding the Fourth Proportional to 1,452.96, 2,005.26 and 863.50

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Solution

The fourth proportional to 1,452.96, 2,005.26 and 863.50 is: 1,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.96 : 2,005.26 = 863.50 : x
  2. Step 2: Convert to fraction form
    1,452.96/2,005.26 = 863.50/x
  3. Step 3: Cross multiply
    1,452.96x = 2,005.26 × 863.50
  4. Step 4: Simplify right side
    1,452.96x = 1,731,527.67
  5. Step 5: Solve for x
    x = 1,731,527.67/1,452.96
  6. Step 6: Final answer
    x = 1,191.72

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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.