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Finding the Fourth Proportional to 764.06, 1,145.82 and 374.06

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Solution

The fourth proportional to 764.06, 1,145.82 and 374.06 is: 560.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.06 : 1,145.82 = 374.06 : x
  2. Step 2: Convert to fraction form
    764.06/1,145.82 = 374.06/x
  3. Step 3: Cross multiply
    764.06x = 1,145.82 × 374.06
  4. Step 4: Simplify right side
    764.06x = 428,605.43
  5. Step 5: Solve for x
    x = 428,605.43/764.06
  6. Step 6: Final answer
    x = 560.96

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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.