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Finding the Fourth Proportional to 1,009.33, 1,514.09 and 393.08

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Solution

The fourth proportional to 1,009.33, 1,514.09 and 393.08 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.33 : 1,514.09 = 393.08 : x
  2. Step 2: Convert to fraction form
    1,009.33/1,514.09 = 393.08/x
  3. Step 3: Cross multiply
    1,009.33x = 1,514.09 × 393.08
  4. Step 4: Simplify right side
    1,009.33x = 595,162.28
  5. Step 5: Solve for x
    x = 595,162.28/1,009.33
  6. Step 6: Final answer
    x = 589.66

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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.