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Finding the Fourth Proportional to 901.92, 1,244.67 and 587.34

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Solution

The fourth proportional to 901.92, 1,244.67 and 587.34 is: 810.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.92 : 1,244.67 = 587.34 : x
  2. Step 2: Convert to fraction form
    901.92/1,244.67 = 587.34/x
  3. Step 3: Cross multiply
    901.92x = 1,244.67 × 587.34
  4. Step 4: Simplify right side
    901.92x = 731,044.48
  5. Step 5: Solve for x
    x = 731,044.48/901.92
  6. Step 6: Final answer
    x = 810.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.