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Finding the Fourth Proportional to 952.01, 1,425.97 and 464.05

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Solution

The fourth proportional to 952.01, 1,425.97 and 464.05 is: 695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.01 : 1,425.97 = 464.05 : x
  2. Step 2: Convert to fraction form
    952.01/1,425.97 = 464.05/x
  3. Step 3: Cross multiply
    952.01x = 1,425.97 × 464.05
  4. Step 4: Simplify right side
    952.01x = 661,721.38
  5. Step 5: Solve for x
    x = 661,721.38/952.01
  6. Step 6: Final answer
    x = 695.08

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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.