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Finding the Fourth Proportional to 769.86, 1,154.70 and 307.62

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Solution

The fourth proportional to 769.86, 1,154.70 and 307.62 is: 461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.86 : 1,154.70 = 307.62 : x
  2. Step 2: Convert to fraction form
    769.86/1,154.70 = 307.62/x
  3. Step 3: Cross multiply
    769.86x = 1,154.70 × 307.62
  4. Step 4: Simplify right side
    769.86x = 355,208.81
  5. Step 5: Solve for x
    x = 355,208.81/769.86
  6. Step 6: Final answer
    x = 461.39

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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.