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Finding the Fourth Proportional to 768.04, 1,152.06 and 422.08

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Solution

The fourth proportional to 768.04, 1,152.06 and 422.08 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.04 : 1,152.06 = 422.08 : x
  2. Step 2: Convert to fraction form
    768.04/1,152.06 = 422.08/x
  3. Step 3: Cross multiply
    768.04x = 1,152.06 × 422.08
  4. Step 4: Simplify right side
    768.04x = 486,261.48
  5. Step 5: Solve for x
    x = 486,261.48/768.04
  6. Step 6: Final answer
    x = 633.12

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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.