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Finding the Fourth Proportional to 1,009.40, 1,514.10 and 487.82

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Solution

The fourth proportional to 1,009.40, 1,514.10 and 487.82 is: 731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.40 : 1,514.10 = 487.82 : x
  2. Step 2: Convert to fraction form
    1,009.40/1,514.10 = 487.82/x
  3. Step 3: Cross multiply
    1,009.40x = 1,514.10 × 487.82
  4. Step 4: Simplify right side
    1,009.40x = 738,600.69
  5. Step 5: Solve for x
    x = 738,600.69/1,009.40
  6. Step 6: Final answer
    x = 731.72

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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.