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Finding the Fourth Proportional to 767.26, 1,059.06 and 491.26

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Solution

The fourth proportional to 767.26, 1,059.06 and 491.26 is: 678.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.26 : 1,059.06 = 491.26 : x
  2. Step 2: Convert to fraction form
    767.26/1,059.06 = 491.26/x
  3. Step 3: Cross multiply
    767.26x = 1,059.06 × 491.26
  4. Step 4: Simplify right side
    767.26x = 520,273.82
  5. Step 5: Solve for x
    x = 520,273.82/767.26
  6. Step 6: Final answer
    x = 678.09

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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.