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Finding the Fourth Proportional to 1,009.61, 1,514.29 and 269.28

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Solution

The fourth proportional to 1,009.61, 1,514.29 and 269.28 is: 403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.61 : 1,514.29 = 269.28 : x
  2. Step 2: Convert to fraction form
    1,009.61/1,514.29 = 269.28/x
  3. Step 3: Cross multiply
    1,009.61x = 1,514.29 × 269.28
  4. Step 4: Simplify right side
    1,009.61x = 407,759.09
  5. Step 5: Solve for x
    x = 407,759.09/1,009.61
  6. Step 6: Final answer
    x = 403.88

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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.