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Finding the Fourth Proportional to 764.04, 1,146.60 and 490.80

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Solution

The fourth proportional to 764.04, 1,146.60 and 490.80 is: 736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.04 : 1,146.60 = 490.80 : x
  2. Step 2: Convert to fraction form
    764.04/1,146.60 = 490.80/x
  3. Step 3: Cross multiply
    764.04x = 1,146.60 × 490.80
  4. Step 4: Simplify right side
    764.04x = 562,751.28
  5. Step 5: Solve for x
    x = 562,751.28/764.04
  6. Step 6: Final answer
    x = 736.55

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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.