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Finding the Fourth Proportional to 815.10, 1,223.17 and 469.11

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Solution

The fourth proportional to 815.10, 1,223.17 and 469.11 is: 703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.10 : 1,223.17 = 469.11 : x
  2. Step 2: Convert to fraction form
    815.10/1,223.17 = 469.11/x
  3. Step 3: Cross multiply
    815.10x = 1,223.17 × 469.11
  4. Step 4: Simplify right side
    815.10x = 573,804.69
  5. Step 5: Solve for x
    x = 573,804.69/815.10
  6. Step 6: Final answer
    x = 703.97

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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.