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Finding the Fourth Proportional to 768.84, 1,154.34 and 509.64

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Solution

The fourth proportional to 768.84, 1,154.34 and 509.64 is: 765.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.84 : 1,154.34 = 509.64 : x
  2. Step 2: Convert to fraction form
    768.84/1,154.34 = 509.64/x
  3. Step 3: Cross multiply
    768.84x = 1,154.34 × 509.64
  4. Step 4: Simplify right side
    768.84x = 588,297.84
  5. Step 5: Solve for x
    x = 588,297.84/768.84
  6. Step 6: Final answer
    x = 765.18

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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.