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Finding the Fourth Proportional to 762.29, 1,141.92 and 350.87

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Solution

The fourth proportional to 762.29, 1,141.92 and 350.87 is: 525.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.29 : 1,141.92 = 350.87 : x
  2. Step 2: Convert to fraction form
    762.29/1,141.92 = 350.87/x
  3. Step 3: Cross multiply
    762.29x = 1,141.92 × 350.87
  4. Step 4: Simplify right side
    762.29x = 400,658.01
  5. Step 5: Solve for x
    x = 400,658.01/762.29
  6. Step 6: Final answer
    x = 525.60

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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.