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Finding the Fourth Proportional to 1,060.79, 1,590.83 and 367.27

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Solution

The fourth proportional to 1,060.79, 1,590.83 and 367.27 is: 550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.79 : 1,590.83 = 367.27 : x
  2. Step 2: Convert to fraction form
    1,060.79/1,590.83 = 367.27/x
  3. Step 3: Cross multiply
    1,060.79x = 1,590.83 × 367.27
  4. Step 4: Simplify right side
    1,060.79x = 584,262.30
  5. Step 5: Solve for x
    x = 584,262.30/1,060.79
  6. Step 6: Final answer
    x = 550.78

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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.