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Finding the Fourth Proportional to 1,009.85, 1,514.06 and 393.04

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Solution

The fourth proportional to 1,009.85, 1,514.06 and 393.04 is: 589.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.85 : 1,514.06 = 393.04 : x
  2. Step 2: Convert to fraction form
    1,009.85/1,514.06 = 393.04/x
  3. Step 3: Cross multiply
    1,009.85x = 1,514.06 × 393.04
  4. Step 4: Simplify right side
    1,009.85x = 595,086.14
  5. Step 5: Solve for x
    x = 595,086.14/1,009.85
  6. Step 6: Final answer
    x = 589.28

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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.