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Finding the Fourth Proportional to 815.54, 1,125.25 and 466.14

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Solution

The fourth proportional to 815.54, 1,125.25 and 466.14 is: 643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.54 : 1,125.25 = 466.14 : x
  2. Step 2: Convert to fraction form
    815.54/1,125.25 = 466.14/x
  3. Step 3: Cross multiply
    815.54x = 1,125.25 × 466.14
  4. Step 4: Simplify right side
    815.54x = 524,524.04
  5. Step 5: Solve for x
    x = 524,524.04/815.54
  6. Step 6: Final answer
    x = 643.16

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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.