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Finding the Fourth Proportional to 764.31, 1,146.47 and 505.94

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Solution

The fourth proportional to 764.31, 1,146.47 and 505.94 is: 758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.31 : 1,146.47 = 505.94 : x
  2. Step 2: Convert to fraction form
    764.31/1,146.47 = 505.94/x
  3. Step 3: Cross multiply
    764.31x = 1,146.47 × 505.94
  4. Step 4: Simplify right side
    764.31x = 580,045.37
  5. Step 5: Solve for x
    x = 580,045.37/764.31
  6. Step 6: Final answer
    x = 758.91

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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.