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Finding the Fourth Proportional to 764.68, 1,146.94 and 374.53

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Solution

The fourth proportional to 764.68, 1,146.94 and 374.53 is: 561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.68 : 1,146.94 = 374.53 : x
  2. Step 2: Convert to fraction form
    764.68/1,146.94 = 374.53/x
  3. Step 3: Cross multiply
    764.68x = 1,146.94 × 374.53
  4. Step 4: Simplify right side
    764.68x = 429,563.44
  5. Step 5: Solve for x
    x = 429,563.44/764.68
  6. Step 6: Final answer
    x = 561.76

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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.