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Finding the Fourth Proportional to 952.72, 1,314.04 and 657.52

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Solution

The fourth proportional to 952.72, 1,314.04 and 657.52 is: 906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.72 : 1,314.04 = 657.52 : x
  2. Step 2: Convert to fraction form
    952.72/1,314.04 = 657.52/x
  3. Step 3: Cross multiply
    952.72x = 1,314.04 × 657.52
  4. Step 4: Simplify right side
    952.72x = 864,007.58
  5. Step 5: Solve for x
    x = 864,007.58/952.72
  6. Step 6: Final answer
    x = 906.89

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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.