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Finding the Fourth Proportional to 1,067.67, 1,600.34 and 913.16

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Solution

The fourth proportional to 1,067.67, 1,600.34 and 913.16 is: 1,368.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.67 : 1,600.34 = 913.16 : x
  2. Step 2: Convert to fraction form
    1,067.67/1,600.34 = 913.16/x
  3. Step 3: Cross multiply
    1,067.67x = 1,600.34 × 913.16
  4. Step 4: Simplify right side
    1,067.67x = 1,461,353.91
  5. Step 5: Solve for x
    x = 1,461,353.91/1,067.67
  6. Step 6: Final answer
    x = 1,368.73

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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.