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Finding the Fourth Proportional to 769.64, 1,154.46 and 256.64

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Solution

The fourth proportional to 769.64, 1,154.46 and 256.64 is: 384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.64 : 1,154.46 = 256.64 : x
  2. Step 2: Convert to fraction form
    769.64/1,154.46 = 256.64/x
  3. Step 3: Cross multiply
    769.64x = 1,154.46 × 256.64
  4. Step 4: Simplify right side
    769.64x = 296,280.61
  5. Step 5: Solve for x
    x = 296,280.61/769.64
  6. Step 6: Final answer
    x = 384.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.