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Finding the Fourth Proportional to 1,144.77, 1,717.14 and 279.08

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Solution

The fourth proportional to 1,144.77, 1,717.14 and 279.08 is: 418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.77 : 1,717.14 = 279.08 : x
  2. Step 2: Convert to fraction form
    1,144.77/1,717.14 = 279.08/x
  3. Step 3: Cross multiply
    1,144.77x = 1,717.14 × 279.08
  4. Step 4: Simplify right side
    1,144.77x = 479,210.85
  5. Step 5: Solve for x
    x = 479,210.85/1,144.77
  6. Step 6: Final answer
    x = 418.61

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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.