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Finding the Fourth Proportional to 768.64, 1,153.14 and 335.68

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Solution

The fourth proportional to 768.64, 1,153.14 and 335.68 is: 503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.64 : 1,153.14 = 335.68 : x
  2. Step 2: Convert to fraction form
    768.64/1,153.14 = 335.68/x
  3. Step 3: Cross multiply
    768.64x = 1,153.14 × 335.68
  4. Step 4: Simplify right side
    768.64x = 387,086.04
  5. Step 5: Solve for x
    x = 387,086.04/768.64
  6. Step 6: Final answer
    x = 503.60

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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.