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Finding the Fourth Proportional to 764.78, 1,147.37 and 491.00

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Solution

The fourth proportional to 764.78, 1,147.37 and 491.00 is: 736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.78 : 1,147.37 = 491.00 : x
  2. Step 2: Convert to fraction form
    764.78/1,147.37 = 491.00/x
  3. Step 3: Cross multiply
    764.78x = 1,147.37 × 491.00
  4. Step 4: Simplify right side
    764.78x = 563,350.48
  5. Step 5: Solve for x
    x = 563,350.48/764.78
  6. Step 6: Final answer
    x = 736.62

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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.