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Finding the Fourth Proportional to 952.01, 1,313.67 and 532.32

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Solution

The fourth proportional to 952.01, 1,313.67 and 532.32 is: 734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.01 : 1,313.67 = 532.32 : x
  2. Step 2: Convert to fraction form
    952.01/1,313.67 = 532.32/x
  3. Step 3: Cross multiply
    952.01x = 1,313.67 × 532.32
  4. Step 4: Simplify right side
    952.01x = 699,292.81
  5. Step 5: Solve for x
    x = 699,292.81/952.01
  6. Step 6: Final answer
    x = 734.54

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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.