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Finding the Fourth Proportional to 767.56, 1,059.46 and 468.92

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Solution

The fourth proportional to 767.56, 1,059.46 and 468.92 is: 647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.56 : 1,059.46 = 468.92 : x
  2. Step 2: Convert to fraction form
    767.56/1,059.46 = 468.92/x
  3. Step 3: Cross multiply
    767.56x = 1,059.46 × 468.92
  4. Step 4: Simplify right side
    767.56x = 496,801.98
  5. Step 5: Solve for x
    x = 496,801.98/767.56
  6. Step 6: Final answer
    x = 647.25

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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.