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Finding the Fourth Proportional to 1,009.36, 1,514.61 and 393.11

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Solution

The fourth proportional to 1,009.36, 1,514.61 and 393.11 is: 589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.36 : 1,514.61 = 393.11 : x
  2. Step 2: Convert to fraction form
    1,009.36/1,514.61 = 393.11/x
  3. Step 3: Cross multiply
    1,009.36x = 1,514.61 × 393.11
  4. Step 4: Simplify right side
    1,009.36x = 595,406.44
  5. Step 5: Solve for x
    x = 595,406.44/1,009.36
  6. Step 6: Final answer
    x = 589.88

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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.