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Finding the Fourth Proportional to 927.78, 1,279.96 and 554.77

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Solution

The fourth proportional to 927.78, 1,279.96 and 554.77 is: 765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.78 : 1,279.96 = 554.77 : x
  2. Step 2: Convert to fraction form
    927.78/1,279.96 = 554.77/x
  3. Step 3: Cross multiply
    927.78x = 1,279.96 × 554.77
  4. Step 4: Simplify right side
    927.78x = 710,091.12
  5. Step 5: Solve for x
    x = 710,091.12/927.78
  6. Step 6: Final answer
    x = 765.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.