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Finding the Fourth Proportional to 764.42, 1,146.12 and 455.50

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Solution

The fourth proportional to 764.42, 1,146.12 and 455.50 is: 682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.42 : 1,146.12 = 455.50 : x
  2. Step 2: Convert to fraction form
    764.42/1,146.12 = 455.50/x
  3. Step 3: Cross multiply
    764.42x = 1,146.12 × 455.50
  4. Step 4: Simplify right side
    764.42x = 522,057.66
  5. Step 5: Solve for x
    x = 522,057.66/764.42
  6. Step 6: Final answer
    x = 682.95

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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.