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Finding the Fourth Proportional to 927.43, 1,279.84 and 507.77

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Solution

The fourth proportional to 927.43, 1,279.84 and 507.77 is: 700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.43 : 1,279.84 = 507.77 : x
  2. Step 2: Convert to fraction form
    927.43/1,279.84 = 507.77/x
  3. Step 3: Cross multiply
    927.43x = 1,279.84 × 507.77
  4. Step 4: Simplify right side
    927.43x = 649,864.36
  5. Step 5: Solve for x
    x = 649,864.36/927.43
  6. Step 6: Final answer
    x = 700.72

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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.