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Finding the Fourth Proportional to 949.48, 1,424.22 and 564.84

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Solution

The fourth proportional to 949.48, 1,424.22 and 564.84 is: 847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.48 : 1,424.22 = 564.84 : x
  2. Step 2: Convert to fraction form
    949.48/1,424.22 = 564.84/x
  3. Step 3: Cross multiply
    949.48x = 1,424.22 × 564.84
  4. Step 4: Simplify right side
    949.48x = 804,456.42
  5. Step 5: Solve for x
    x = 804,456.42/949.48
  6. Step 6: Final answer
    x = 847.26

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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.