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Finding the Fourth Proportional to 822.52, 1,233.85 and 259.62

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Solution

The fourth proportional to 822.52, 1,233.85 and 259.62 is: 389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.52 : 1,233.85 = 259.62 : x
  2. Step 2: Convert to fraction form
    822.52/1,233.85 = 259.62/x
  3. Step 3: Cross multiply
    822.52x = 1,233.85 × 259.62
  4. Step 4: Simplify right side
    822.52x = 320,332.14
  5. Step 5: Solve for x
    x = 320,332.14/822.52
  6. Step 6: Final answer
    x = 389.45

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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.