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Finding the Fourth Proportional to 768.03, 1,149.21 and 460.10

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Solution

The fourth proportional to 768.03, 1,149.21 and 460.10 is: 688.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.03 : 1,149.21 = 460.10 : x
  2. Step 2: Convert to fraction form
    768.03/1,149.21 = 460.10/x
  3. Step 3: Cross multiply
    768.03x = 1,149.21 × 460.10
  4. Step 4: Simplify right side
    768.03x = 528,745.77
  5. Step 5: Solve for x
    x = 528,745.77/768.03
  6. Step 6: Final answer
    x = 688.44

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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.