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Finding the Fourth Proportional to 1,145.91, 1,718.02 and 365.65

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Solution

The fourth proportional to 1,145.91, 1,718.02 and 365.65 is: 548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.91 : 1,718.02 = 365.65 : x
  2. Step 2: Convert to fraction form
    1,145.91/1,718.02 = 365.65/x
  3. Step 3: Cross multiply
    1,145.91x = 1,718.02 × 365.65
  4. Step 4: Simplify right side
    1,145.91x = 628,194.01
  5. Step 5: Solve for x
    x = 628,194.01/1,145.91
  6. Step 6: Final answer
    x = 548.21

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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.