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Finding the Fourth Proportional to 815.52, 1,125.14 and 466.12

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Solution

The fourth proportional to 815.52, 1,125.14 and 466.12 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.52 : 1,125.14 = 466.12 : x
  2. Step 2: Convert to fraction form
    815.52/1,125.14 = 466.12/x
  3. Step 3: Cross multiply
    815.52x = 1,125.14 × 466.12
  4. Step 4: Simplify right side
    815.52x = 524,450.26
  5. Step 5: Solve for x
    x = 524,450.26/815.52
  6. Step 6: Final answer
    x = 643.09

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