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Finding the Fourth Proportional to 952.23, 1,314.06 and 538.23

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Solution

The fourth proportional to 952.23, 1,314.06 and 538.23 is: 742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.23 : 1,314.06 = 538.23 : x
  2. Step 2: Convert to fraction form
    952.23/1,314.06 = 538.23/x
  3. Step 3: Cross multiply
    952.23x = 1,314.06 × 538.23
  4. Step 4: Simplify right side
    952.23x = 707,266.51
  5. Step 5: Solve for x
    x = 707,266.51/952.23
  6. Step 6: Final answer
    x = 742.75

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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.