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Finding the Fourth Proportional to 764.68, 1,146.50 and 277.66

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Solution

The fourth proportional to 764.68, 1,146.50 and 277.66 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.68 : 1,146.50 = 277.66 : x
  2. Step 2: Convert to fraction form
    764.68/1,146.50 = 277.66/x
  3. Step 3: Cross multiply
    764.68x = 1,146.50 × 277.66
  4. Step 4: Simplify right side
    764.68x = 318,337.19
  5. Step 5: Solve for x
    x = 318,337.19/764.68
  6. Step 6: Final answer
    x = 416.30

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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.