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Finding the Fourth Proportional to 762.92, 1,143.90 and 506.12

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Solution

The fourth proportional to 762.92, 1,143.90 and 506.12 is: 758.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.92 : 1,143.90 = 506.12 : x
  2. Step 2: Convert to fraction form
    762.92/1,143.90 = 506.12/x
  3. Step 3: Cross multiply
    762.92x = 1,143.90 × 506.12
  4. Step 4: Simplify right side
    762.92x = 578,950.67
  5. Step 5: Solve for x
    x = 578,950.67/762.92
  6. Step 6: Final answer
    x = 758.86

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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.