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Finding the Fourth Proportional to 1,009.26, 1,514.27 and 393.41

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Solution

The fourth proportional to 1,009.26, 1,514.27 and 393.41 is: 590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.26 : 1,514.27 = 393.41 : x
  2. Step 2: Convert to fraction form
    1,009.26/1,514.27 = 393.41/x
  3. Step 3: Cross multiply
    1,009.26x = 1,514.27 × 393.41
  4. Step 4: Simplify right side
    1,009.26x = 595,724.11
  5. Step 5: Solve for x
    x = 595,724.11/1,009.26
  6. Step 6: Final answer
    x = 590.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.