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Finding the Fourth Proportional to 769.77, 1,153.80 and 552.69

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Solution

The fourth proportional to 769.77, 1,153.80 and 552.69 is: 828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.77 : 1,153.80 = 552.69 : x
  2. Step 2: Convert to fraction form
    769.77/1,153.80 = 552.69/x
  3. Step 3: Cross multiply
    769.77x = 1,153.80 × 552.69
  4. Step 4: Simplify right side
    769.77x = 637,693.72
  5. Step 5: Solve for x
    x = 637,693.72/769.77
  6. Step 6: Final answer
    x = 828.42

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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.