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Finding the Fourth Proportional to 768.05, 1,059.72 and 469.22

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Solution

The fourth proportional to 768.05, 1,059.72 and 469.22 is: 647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.05 : 1,059.72 = 469.22 : x
  2. Step 2: Convert to fraction form
    768.05/1,059.72 = 469.22/x
  3. Step 3: Cross multiply
    768.05x = 1,059.72 × 469.22
  4. Step 4: Simplify right side
    768.05x = 497,241.82
  5. Step 5: Solve for x
    x = 497,241.82/768.05
  6. Step 6: Final answer
    x = 647.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.