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Finding the Fourth Proportional to 776.16, 1,163.88 and 410.58

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Solution

The fourth proportional to 776.16, 1,163.88 and 410.58 is: 615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.16 : 1,163.88 = 410.58 : x
  2. Step 2: Convert to fraction form
    776.16/1,163.88 = 410.58/x
  3. Step 3: Cross multiply
    776.16x = 1,163.88 × 410.58
  4. Step 4: Simplify right side
    776.16x = 477,865.85
  5. Step 5: Solve for x
    x = 477,865.85/776.16
  6. Step 6: Final answer
    x = 615.68

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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.