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Finding the Fourth Proportional to 762.87, 1,141.77 and 694.55

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Solution

The fourth proportional to 762.87, 1,141.77 and 694.55 is: 1,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.87 : 1,141.77 = 694.55 : x
  2. Step 2: Convert to fraction form
    762.87/1,141.77 = 694.55/x
  3. Step 3: Cross multiply
    762.87x = 1,141.77 × 694.55
  4. Step 4: Simplify right side
    762.87x = 793,016.65
  5. Step 5: Solve for x
    x = 793,016.65/762.87
  6. Step 6: Final answer
    x = 1,039.52

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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.