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Finding the Fourth Proportional to 815.54, 1,125.46 and 466.22

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Solution

The fourth proportional to 815.54, 1,125.46 and 466.22 is: 643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.54 : 1,125.46 = 466.22 : x
  2. Step 2: Convert to fraction form
    815.54/1,125.46 = 466.22/x
  3. Step 3: Cross multiply
    815.54x = 1,125.46 × 466.22
  4. Step 4: Simplify right side
    815.54x = 524,711.96
  5. Step 5: Solve for x
    x = 524,711.96/815.54
  6. Step 6: Final answer
    x = 643.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.