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Finding the Fourth Proportional to 764.55, 1,146.53 and 302.43

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Solution

The fourth proportional to 764.55, 1,146.53 and 302.43 is: 453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.55 : 1,146.53 = 302.43 : x
  2. Step 2: Convert to fraction form
    764.55/1,146.53 = 302.43/x
  3. Step 3: Cross multiply
    764.55x = 1,146.53 × 302.43
  4. Step 4: Simplify right side
    764.55x = 346,739.34
  5. Step 5: Solve for x
    x = 346,739.34/764.55
  6. Step 6: Final answer
    x = 453.52

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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.