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Finding the Fourth Proportional to 774.02, 1,158.72 and 694.83

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Solution

The fourth proportional to 774.02, 1,158.72 and 694.83 is: 1,040.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.02 : 1,158.72 = 694.83 : x
  2. Step 2: Convert to fraction form
    774.02/1,158.72 = 694.83/x
  3. Step 3: Cross multiply
    774.02x = 1,158.72 × 694.83
  4. Step 4: Simplify right side
    774.02x = 805,113.42
  5. Step 5: Solve for x
    x = 805,113.42/774.02
  6. Step 6: Final answer
    x = 1,040.18

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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.