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Finding the Fourth Proportional to 1,118.91, 1,678.42 and 338.93

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Solution

The fourth proportional to 1,118.91, 1,678.42 and 338.93 is: 508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.91 : 1,678.42 = 338.93 : x
  2. Step 2: Convert to fraction form
    1,118.91/1,678.42 = 338.93/x
  3. Step 3: Cross multiply
    1,118.91x = 1,678.42 × 338.93
  4. Step 4: Simplify right side
    1,118.91x = 568,874.66
  5. Step 5: Solve for x
    x = 568,874.66/1,118.91
  6. Step 6: Final answer
    x = 508.42

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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.