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Finding the Fourth Proportional to 815.69, 1,223.64 and 322.13

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Solution

The fourth proportional to 815.69, 1,223.64 and 322.13 is: 483.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.69 : 1,223.64 = 322.13 : x
  2. Step 2: Convert to fraction form
    815.69/1,223.64 = 322.13/x
  3. Step 3: Cross multiply
    815.69x = 1,223.64 × 322.13
  4. Step 4: Simplify right side
    815.69x = 394,165.04
  5. Step 5: Solve for x
    x = 394,165.04/815.69
  6. Step 6: Final answer
    x = 483.23

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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.