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Finding the Fourth Proportional to 764.88, 1,147.60 and 302.40

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Solution

The fourth proportional to 764.88, 1,147.60 and 302.40 is: 453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.88 : 1,147.60 = 302.40 : x
  2. Step 2: Convert to fraction form
    764.88/1,147.60 = 302.40/x
  3. Step 3: Cross multiply
    764.88x = 1,147.60 × 302.40
  4. Step 4: Simplify right side
    764.88x = 347,034.24
  5. Step 5: Solve for x
    x = 347,034.24/764.88
  6. Step 6: Final answer
    x = 453.71

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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.