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Finding the Fourth Proportional to 927.64, 1,279.86 and 596.45

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Solution

The fourth proportional to 927.64, 1,279.86 and 596.45 is: 822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.64 : 1,279.86 = 596.45 : x
  2. Step 2: Convert to fraction form
    927.64/1,279.86 = 596.45/x
  3. Step 3: Cross multiply
    927.64x = 1,279.86 × 596.45
  4. Step 4: Simplify right side
    927.64x = 763,372.50
  5. Step 5: Solve for x
    x = 763,372.50/927.64
  6. Step 6: Final answer
    x = 822.92

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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.