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Finding the Fourth Proportional to 770.74, 1,154.36 and 540.65

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Solution

The fourth proportional to 770.74, 1,154.36 and 540.65 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.74 : 1,154.36 = 540.65 : x
  2. Step 2: Convert to fraction form
    770.74/1,154.36 = 540.65/x
  3. Step 3: Cross multiply
    770.74x = 1,154.36 × 540.65
  4. Step 4: Simplify right side
    770.74x = 624,104.73
  5. Step 5: Solve for x
    x = 624,104.73/770.74
  6. Step 6: Final answer
    x = 809.75

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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.