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Finding the Fourth Proportional to 952.48, 1,428.96 and 562.80

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Solution

The fourth proportional to 952.48, 1,428.96 and 562.80 is: 844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.48 : 1,428.96 = 562.80 : x
  2. Step 2: Convert to fraction form
    952.48/1,428.96 = 562.80/x
  3. Step 3: Cross multiply
    952.48x = 1,428.96 × 562.80
  4. Step 4: Simplify right side
    952.48x = 804,218.69
  5. Step 5: Solve for x
    x = 804,218.69/952.48
  6. Step 6: Final answer
    x = 844.35

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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.