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Finding the Fourth Proportional to 927.37, 1,279.85 and 578.11

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Solution

The fourth proportional to 927.37, 1,279.85 and 578.11 is: 797.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.37 : 1,279.85 = 578.11 : x
  2. Step 2: Convert to fraction form
    927.37/1,279.85 = 578.11/x
  3. Step 3: Cross multiply
    927.37x = 1,279.85 × 578.11
  4. Step 4: Simplify right side
    927.37x = 739,894.08
  5. Step 5: Solve for x
    x = 739,894.08/927.37
  6. Step 6: Final answer
    x = 797.84

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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.