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Finding the Fourth Proportional to 1,009.78, 1,514.30 and 393.42

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Solution

The fourth proportional to 1,009.78, 1,514.30 and 393.42 is: 589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.78 : 1,514.30 = 393.42 : x
  2. Step 2: Convert to fraction form
    1,009.78/1,514.30 = 393.42/x
  3. Step 3: Cross multiply
    1,009.78x = 1,514.30 × 393.42
  4. Step 4: Simplify right side
    1,009.78x = 595,755.91
  5. Step 5: Solve for x
    x = 595,755.91/1,009.78
  6. Step 6: Final answer
    x = 589.99

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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.