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Finding the Fourth Proportional to 927.47, 1,279.44 and 704.01

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Solution

The fourth proportional to 927.47, 1,279.44 and 704.01 is: 971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.47 : 1,279.44 = 704.01 : x
  2. Step 2: Convert to fraction form
    927.47/1,279.44 = 704.01/x
  3. Step 3: Cross multiply
    927.47x = 1,279.44 × 704.01
  4. Step 4: Simplify right side
    927.47x = 900,738.55
  5. Step 5: Solve for x
    x = 900,738.55/927.47
  6. Step 6: Final answer
    x = 971.18

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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.