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Finding the Fourth Proportional to 767.49, 1,059.11 and 469.24

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Solution

The fourth proportional to 767.49, 1,059.11 and 469.24 is: 647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.49 : 1,059.11 = 469.24 : x
  2. Step 2: Convert to fraction form
    767.49/1,059.11 = 469.24/x
  3. Step 3: Cross multiply
    767.49x = 1,059.11 × 469.24
  4. Step 4: Simplify right side
    767.49x = 496,977.01
  5. Step 5: Solve for x
    x = 496,977.01/767.49
  6. Step 6: Final answer
    x = 647.53

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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.