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Finding the Fourth Proportional to 823.90, 1,233.42 and 709.08

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Solution

The fourth proportional to 823.90, 1,233.42 and 709.08 is: 1,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.90 : 1,233.42 = 709.08 : x
  2. Step 2: Convert to fraction form
    823.90/1,233.42 = 709.08/x
  3. Step 3: Cross multiply
    823.90x = 1,233.42 × 709.08
  4. Step 4: Simplify right side
    823.90x = 874,593.45
  5. Step 5: Solve for x
    x = 874,593.45/823.90
  6. Step 6: Final answer
    x = 1,061.53

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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.