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Finding the Fourth Proportional to 1,145.87, 1,719.04 and 365.91

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Solution

The fourth proportional to 1,145.87, 1,719.04 and 365.91 is: 548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.87 : 1,719.04 = 365.91 : x
  2. Step 2: Convert to fraction form
    1,145.87/1,719.04 = 365.91/x
  3. Step 3: Cross multiply
    1,145.87x = 1,719.04 × 365.91
  4. Step 4: Simplify right side
    1,145.87x = 629,013.93
  5. Step 5: Solve for x
    x = 629,013.93/1,145.87
  6. Step 6: Final answer
    x = 548.94

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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.