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Finding the Fourth Proportional to 815.29, 1,125.09 and 465.97

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Solution

The fourth proportional to 815.29, 1,125.09 and 465.97 is: 643.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.29 : 1,125.09 = 465.97 : x
  2. Step 2: Convert to fraction form
    815.29/1,125.09 = 465.97/x
  3. Step 3: Cross multiply
    815.29x = 1,125.09 × 465.97
  4. Step 4: Simplify right side
    815.29x = 524,258.19
  5. Step 5: Solve for x
    x = 524,258.19/815.29
  6. Step 6: Final answer
    x = 643.03

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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.