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Finding the Fourth Proportional to 927.34, 1,279.68 and 507.61

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Solution

The fourth proportional to 927.34, 1,279.68 and 507.61 is: 700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.34 : 1,279.68 = 507.61 : x
  2. Step 2: Convert to fraction form
    927.34/1,279.68 = 507.61/x
  3. Step 3: Cross multiply
    927.34x = 1,279.68 × 507.61
  4. Step 4: Simplify right side
    927.34x = 649,578.36
  5. Step 5: Solve for x
    x = 649,578.36/927.34
  6. Step 6: Final answer
    x = 700.47

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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.