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Finding the Fourth Proportional to 823.07, 1,232.64 and 600.11

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Solution

The fourth proportional to 823.07, 1,232.64 and 600.11 is: 898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.07 : 1,232.64 = 600.11 : x
  2. Step 2: Convert to fraction form
    823.07/1,232.64 = 600.11/x
  3. Step 3: Cross multiply
    823.07x = 1,232.64 × 600.11
  4. Step 4: Simplify right side
    823.07x = 739,715.80
  5. Step 5: Solve for x
    x = 739,715.80/823.07
  6. Step 6: Final answer
    x = 898.72

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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.