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Finding the Fourth Proportional to 1,009.38, 1,514.16 and 278.96

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Solution

The fourth proportional to 1,009.38, 1,514.16 and 278.96 is: 418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.38 : 1,514.16 = 278.96 : x
  2. Step 2: Convert to fraction form
    1,009.38/1,514.16 = 278.96/x
  3. Step 3: Cross multiply
    1,009.38x = 1,514.16 × 278.96
  4. Step 4: Simplify right side
    1,009.38x = 422,390.07
  5. Step 5: Solve for x
    x = 422,390.07/1,009.38
  6. Step 6: Final answer
    x = 418.46

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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.