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Finding the Fourth Proportional to 952.24, 1,314.24 and 579.46

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Solution

The fourth proportional to 952.24, 1,314.24 and 579.46 is: 799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.24 : 1,314.24 = 579.46 : x
  2. Step 2: Convert to fraction form
    952.24/1,314.24 = 579.46/x
  3. Step 3: Cross multiply
    952.24x = 1,314.24 × 579.46
  4. Step 4: Simplify right side
    952.24x = 761,549.51
  5. Step 5: Solve for x
    x = 761,549.51/952.24
  6. Step 6: Final answer
    x = 799.75

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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.