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Finding the Fourth Proportional to 741.80, 1,025.06 and 717.77

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Solution

The fourth proportional to 741.80, 1,025.06 and 717.77 is: 991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.80 : 1,025.06 = 717.77 : x
  2. Step 2: Convert to fraction form
    741.80/1,025.06 = 717.77/x
  3. Step 3: Cross multiply
    741.80x = 1,025.06 × 717.77
  4. Step 4: Simplify right side
    741.80x = 735,756.29
  5. Step 5: Solve for x
    x = 735,756.29/741.80
  6. Step 6: Final answer
    x = 991.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.