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Finding the Fourth Proportional to 1,009.34, 1,514.01 and 393.48

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Solution

The fourth proportional to 1,009.34, 1,514.01 and 393.48 is: 590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.34 : 1,514.01 = 393.48 : x
  2. Step 2: Convert to fraction form
    1,009.34/1,514.01 = 393.48/x
  3. Step 3: Cross multiply
    1,009.34x = 1,514.01 × 393.48
  4. Step 4: Simplify right side
    1,009.34x = 595,732.65
  5. Step 5: Solve for x
    x = 595,732.65/1,009.34
  6. Step 6: Final answer
    x = 590.22

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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.