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Finding the Fourth Proportional to 823.30, 1,232.02 and 709.10

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Solution

The fourth proportional to 823.30, 1,232.02 and 709.10 is: 1,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.30 : 1,232.02 = 709.10 : x
  2. Step 2: Convert to fraction form
    823.30/1,232.02 = 709.10/x
  3. Step 3: Cross multiply
    823.30x = 1,232.02 × 709.10
  4. Step 4: Simplify right side
    823.30x = 873,625.38
  5. Step 5: Solve for x
    x = 873,625.38/823.30
  6. Step 6: Final answer
    x = 1,061.13

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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.