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Finding the Fourth Proportional to 1,162.88, 1,743.91 and 341.14

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Solution

The fourth proportional to 1,162.88, 1,743.91 and 341.14 is: 511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.88 : 1,743.91 = 341.14 : x
  2. Step 2: Convert to fraction form
    1,162.88/1,743.91 = 341.14/x
  3. Step 3: Cross multiply
    1,162.88x = 1,743.91 × 341.14
  4. Step 4: Simplify right side
    1,162.88x = 594,917.46
  5. Step 5: Solve for x
    x = 594,917.46/1,162.88
  6. Step 6: Final answer
    x = 511.59

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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.