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Finding the Fourth Proportional to 927.03, 1,278.90 and 577.92

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Solution

The fourth proportional to 927.03, 1,278.90 and 577.92 is: 797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.03 : 1,278.90 = 577.92 : x
  2. Step 2: Convert to fraction form
    927.03/1,278.90 = 577.92/x
  3. Step 3: Cross multiply
    927.03x = 1,278.90 × 577.92
  4. Step 4: Simplify right side
    927.03x = 739,101.89
  5. Step 5: Solve for x
    x = 739,101.89/927.03
  6. Step 6: Final answer
    x = 797.28

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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.