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Finding the Fourth Proportional to 927.21, 1,279.54 and 507.57

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Solution

The fourth proportional to 927.21, 1,279.54 and 507.57 is: 700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.21 : 1,279.54 = 507.57 : x
  2. Step 2: Convert to fraction form
    927.21/1,279.54 = 507.57/x
  3. Step 3: Cross multiply
    927.21x = 1,279.54 × 507.57
  4. Step 4: Simplify right side
    927.21x = 649,456.12
  5. Step 5: Solve for x
    x = 649,456.12/927.21
  6. Step 6: Final answer
    x = 700.44

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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.