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Finding the Fourth Proportional to 823.14, 1,233.29 and 578.52

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Solution

The fourth proportional to 823.14, 1,233.29 and 578.52 is: 866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.14 : 1,233.29 = 578.52 : x
  2. Step 2: Convert to fraction form
    823.14/1,233.29 = 578.52/x
  3. Step 3: Cross multiply
    823.14x = 1,233.29 × 578.52
  4. Step 4: Simplify right side
    823.14x = 713,482.93
  5. Step 5: Solve for x
    x = 713,482.93/823.14
  6. Step 6: Final answer
    x = 866.78

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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.