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Finding the Fourth Proportional to 774.74, 1,158.46 and 654.46

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Solution

The fourth proportional to 774.74, 1,158.46 and 654.46 is: 978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.74 : 1,158.46 = 654.46 : x
  2. Step 2: Convert to fraction form
    774.74/1,158.46 = 654.46/x
  3. Step 3: Cross multiply
    774.74x = 1,158.46 × 654.46
  4. Step 4: Simplify right side
    774.74x = 758,165.73
  5. Step 5: Solve for x
    x = 758,165.73/774.74
  6. Step 6: Final answer
    x = 978.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.