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Finding the Fourth Proportional to 952.33, 1,428.08 and 562.43

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Solution

The fourth proportional to 952.33, 1,428.08 and 562.43 is: 843.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.33 : 1,428.08 = 562.43 : x
  2. Step 2: Convert to fraction form
    952.33/1,428.08 = 562.43/x
  3. Step 3: Cross multiply
    952.33x = 1,428.08 × 562.43
  4. Step 4: Simplify right side
    952.33x = 803,196.95
  5. Step 5: Solve for x
    x = 803,196.95/952.33
  6. Step 6: Final answer
    x = 843.40

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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.