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Finding the Fourth Proportional to 952.82, 1,314.80 and 533.16

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Solution

The fourth proportional to 952.82, 1,314.80 and 533.16 is: 735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.82 : 1,314.80 = 533.16 : x
  2. Step 2: Convert to fraction form
    952.82/1,314.80 = 533.16/x
  3. Step 3: Cross multiply
    952.82x = 1,314.80 × 533.16
  4. Step 4: Simplify right side
    952.82x = 700,996.10
  5. Step 5: Solve for x
    x = 700,996.10/952.82
  6. Step 6: Final answer
    x = 735.71

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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.