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Finding the Fourth Proportional to 952.20, 1,424.81 and 562.39

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Solution

The fourth proportional to 952.20, 1,424.81 and 562.39 is: 841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.20 : 1,424.81 = 562.39 : x
  2. Step 2: Convert to fraction form
    952.20/1,424.81 = 562.39/x
  3. Step 3: Cross multiply
    952.20x = 1,424.81 × 562.39
  4. Step 4: Simplify right side
    952.20x = 801,296.74
  5. Step 5: Solve for x
    x = 801,296.74/952.20
  6. Step 6: Final answer
    x = 841.52

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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.