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Finding the Fourth Proportional to 1,009.74, 1,514.53 and 279.33

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Solution

The fourth proportional to 1,009.74, 1,514.53 and 279.33 is: 418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.74 : 1,514.53 = 279.33 : x
  2. Step 2: Convert to fraction form
    1,009.74/1,514.53 = 279.33/x
  3. Step 3: Cross multiply
    1,009.74x = 1,514.53 × 279.33
  4. Step 4: Simplify right side
    1,009.74x = 423,053.66
  5. Step 5: Solve for x
    x = 423,053.66/1,009.74
  6. Step 6: Final answer
    x = 418.97

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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.