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Finding the Fourth Proportional to 952.14, 1,427.84 and 562.94

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Solution

The fourth proportional to 952.14, 1,427.84 and 562.94 is: 844.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.14 : 1,427.84 = 562.94 : x
  2. Step 2: Convert to fraction form
    952.14/1,427.84 = 562.94/x
  3. Step 3: Cross multiply
    952.14x = 1,427.84 × 562.94
  4. Step 4: Simplify right side
    952.14x = 803,788.25
  5. Step 5: Solve for x
    x = 803,788.25/952.14
  6. Step 6: Final answer
    x = 844.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.