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Finding the Fourth Proportional to 769.45, 1,153.95 and 596.31

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Solution

The fourth proportional to 769.45, 1,153.95 and 596.31 is: 894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.45 : 1,153.95 = 596.31 : x
  2. Step 2: Convert to fraction form
    769.45/1,153.95 = 596.31/x
  3. Step 3: Cross multiply
    769.45x = 1,153.95 × 596.31
  4. Step 4: Simplify right side
    769.45x = 688,111.85
  5. Step 5: Solve for x
    x = 688,111.85/769.45
  6. Step 6: Final answer
    x = 894.29

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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.