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Finding the Fourth Proportional to 1,163.88, 1,746.44 and 515.08

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Solution

The fourth proportional to 1,163.88, 1,746.44 and 515.08 is: 772.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.88 : 1,746.44 = 515.08 : x
  2. Step 2: Convert to fraction form
    1,163.88/1,746.44 = 515.08/x
  3. Step 3: Cross multiply
    1,163.88x = 1,746.44 × 515.08
  4. Step 4: Simplify right side
    1,163.88x = 899,556.32
  5. Step 5: Solve for x
    x = 899,556.32/1,163.88
  6. Step 6: Final answer
    x = 772.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.