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Finding the Fourth Proportional to 927.90, 1,392.03 and 278.64

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Solution

The fourth proportional to 927.90, 1,392.03 and 278.64 is: 418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.90 : 1,392.03 = 278.64 : x
  2. Step 2: Convert to fraction form
    927.90/1,392.03 = 278.64/x
  3. Step 3: Cross multiply
    927.90x = 1,392.03 × 278.64
  4. Step 4: Simplify right side
    927.90x = 387,875.24
  5. Step 5: Solve for x
    x = 387,875.24/927.90
  6. Step 6: Final answer
    x = 418.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.