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Finding the Fourth Proportional to 1,110.78, 1,666.29 and 341.22

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Solution

The fourth proportional to 1,110.78, 1,666.29 and 341.22 is: 511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.78 : 1,666.29 = 341.22 : x
  2. Step 2: Convert to fraction form
    1,110.78/1,666.29 = 341.22/x
  3. Step 3: Cross multiply
    1,110.78x = 1,666.29 × 341.22
  4. Step 4: Simplify right side
    1,110.78x = 568,571.47
  5. Step 5: Solve for x
    x = 568,571.47/1,110.78
  6. Step 6: Final answer
    x = 511.87

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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.