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Finding the Fourth Proportional to 775.80, 1,163.86 and 446.40

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Solution

The fourth proportional to 775.80, 1,163.86 and 446.40 is: 669.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.80 : 1,163.86 = 446.40 : x
  2. Step 2: Convert to fraction form
    775.80/1,163.86 = 446.40/x
  3. Step 3: Cross multiply
    775.80x = 1,163.86 × 446.40
  4. Step 4: Simplify right side
    775.80x = 519,547.10
  5. Step 5: Solve for x
    x = 519,547.10/775.80
  6. Step 6: Final answer
    x = 669.69

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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.