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Finding the Fourth Proportional to 1,145.81, 1,718.72 and 280.13

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Solution

The fourth proportional to 1,145.81, 1,718.72 and 280.13 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.81 : 1,718.72 = 280.13 : x
  2. Step 2: Convert to fraction form
    1,145.81/1,718.72 = 280.13/x
  3. Step 3: Cross multiply
    1,145.81x = 1,718.72 × 280.13
  4. Step 4: Simplify right side
    1,145.81x = 481,456.09
  5. Step 5: Solve for x
    x = 481,456.09/1,145.81
  6. Step 6: Final answer
    x = 420.19

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Why These Related Problems?

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