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Finding the Fourth Proportional to 952.16, 1,313.97 and 559.22

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Solution

The fourth proportional to 952.16, 1,313.97 and 559.22 is: 771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.16 : 1,313.97 = 559.22 : x
  2. Step 2: Convert to fraction form
    952.16/1,313.97 = 559.22/x
  3. Step 3: Cross multiply
    952.16x = 1,313.97 × 559.22
  4. Step 4: Simplify right side
    952.16x = 734,798.30
  5. Step 5: Solve for x
    x = 734,798.30/952.16
  6. Step 6: Final answer
    x = 771.72

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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.