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Finding the Fourth Proportional to 776.10, 1,163.04 and 583.86

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Solution

The fourth proportional to 776.10, 1,163.04 and 583.86 is: 874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.10 : 1,163.04 = 583.86 : x
  2. Step 2: Convert to fraction form
    776.10/1,163.04 = 583.86/x
  3. Step 3: Cross multiply
    776.10x = 1,163.04 × 583.86
  4. Step 4: Simplify right side
    776.10x = 679,052.53
  5. Step 5: Solve for x
    x = 679,052.53/776.10
  6. Step 6: Final answer
    x = 874.95

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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.