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Finding the Fourth Proportional to 776.00, 1,158.24 and 721.82

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Solution

The fourth proportional to 776.00, 1,158.24 and 721.82 is: 1,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.00 : 1,158.24 = 721.82 : x
  2. Step 2: Convert to fraction form
    776.00/1,158.24 = 721.82/x
  3. Step 3: Cross multiply
    776.00x = 1,158.24 × 721.82
  4. Step 4: Simplify right side
    776.00x = 836,035.01
  5. Step 5: Solve for x
    x = 836,035.01/776.00
  6. Step 6: Final answer
    x = 1,077.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.