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Finding the Fourth Proportional to 764.04, 1,147.89 and 490.66

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Solution

The fourth proportional to 764.04, 1,147.89 and 490.66 is: 737.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.04 : 1,147.89 = 490.66 : x
  2. Step 2: Convert to fraction form
    764.04/1,147.89 = 490.66/x
  3. Step 3: Cross multiply
    764.04x = 1,147.89 × 490.66
  4. Step 4: Simplify right side
    764.04x = 563,228.21
  5. Step 5: Solve for x
    x = 563,228.21/764.04
  6. Step 6: Final answer
    x = 737.17

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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.