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Finding the Fourth Proportional to 1,009.69, 1,514.64 and 279.25

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Solution

The fourth proportional to 1,009.69, 1,514.64 and 279.25 is: 418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.69 : 1,514.64 = 279.25 : x
  2. Step 2: Convert to fraction form
    1,009.69/1,514.64 = 279.25/x
  3. Step 3: Cross multiply
    1,009.69x = 1,514.64 × 279.25
  4. Step 4: Simplify right side
    1,009.69x = 422,963.22
  5. Step 5: Solve for x
    x = 422,963.22/1,009.69
  6. Step 6: Final answer
    x = 418.90

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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.