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Finding the Fourth Proportional to 832.57, 1,246.57 and 600.20

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Solution

The fourth proportional to 832.57, 1,246.57 and 600.20 is: 898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.57 : 1,246.57 = 600.20 : x
  2. Step 2: Convert to fraction form
    832.57/1,246.57 = 600.20/x
  3. Step 3: Cross multiply
    832.57x = 1,246.57 × 600.20
  4. Step 4: Simplify right side
    832.57x = 748,191.31
  5. Step 5: Solve for x
    x = 748,191.31/832.57
  6. Step 6: Final answer
    x = 898.65

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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.