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Finding the Fourth Proportional to 1,009.42, 1,514.31 and 461.66

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Solution

The fourth proportional to 1,009.42, 1,514.31 and 461.66 is: 692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.42 : 1,514.31 = 461.66 : x
  2. Step 2: Convert to fraction form
    1,009.42/1,514.31 = 461.66/x
  3. Step 3: Cross multiply
    1,009.42x = 1,514.31 × 461.66
  4. Step 4: Simplify right side
    1,009.42x = 699,086.47
  5. Step 5: Solve for x
    x = 699,086.47/1,009.42
  6. Step 6: Final answer
    x = 692.56

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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.