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Finding the Fourth Proportional to 775.16, 1,161.36 and 756.02

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Solution

The fourth proportional to 775.16, 1,161.36 and 756.02 is: 1,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.16 : 1,161.36 = 756.02 : x
  2. Step 2: Convert to fraction form
    775.16/1,161.36 = 756.02/x
  3. Step 3: Cross multiply
    775.16x = 1,161.36 × 756.02
  4. Step 4: Simplify right side
    775.16x = 878,005.58
  5. Step 5: Solve for x
    x = 878,005.58/775.16
  6. Step 6: Final answer
    x = 1,132.68

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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.