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Finding the Fourth Proportional to 769.47, 1,152.67 and 460.46

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Solution

The fourth proportional to 769.47, 1,152.67 and 460.46 is: 689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.47 : 1,152.67 = 460.46 : x
  2. Step 2: Convert to fraction form
    769.47/1,152.67 = 460.46/x
  3. Step 3: Cross multiply
    769.47x = 1,152.67 × 460.46
  4. Step 4: Simplify right side
    769.47x = 530,758.43
  5. Step 5: Solve for x
    x = 530,758.43/769.47
  6. Step 6: Final answer
    x = 689.77

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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.