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Finding the Fourth Proportional to 1,143.11, 1,714.66 and 277.42

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Solution

The fourth proportional to 1,143.11, 1,714.66 and 277.42 is: 416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.11 : 1,714.66 = 277.42 : x
  2. Step 2: Convert to fraction form
    1,143.11/1,714.66 = 277.42/x
  3. Step 3: Cross multiply
    1,143.11x = 1,714.66 × 277.42
  4. Step 4: Simplify right side
    1,143.11x = 475,680.98
  5. Step 5: Solve for x
    x = 475,680.98/1,143.11
  6. Step 6: Final answer
    x = 416.13

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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.