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Finding the Fourth Proportional to 1,001.47, 1,499.47 and 676.19

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Solution

The fourth proportional to 1,001.47, 1,499.47 and 676.19 is: 1,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.47 : 1,499.47 = 676.19 : x
  2. Step 2: Convert to fraction form
    1,001.47/1,499.47 = 676.19/x
  3. Step 3: Cross multiply
    1,001.47x = 1,499.47 × 676.19
  4. Step 4: Simplify right side
    1,001.47x = 1,013,926.62
  5. Step 5: Solve for x
    x = 1,013,926.62/1,001.47
  6. Step 6: Final answer
    x = 1,012.44

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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.