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Finding the Fourth Proportional to 762.06, 1,147.20 and 694.02

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Solution

The fourth proportional to 762.06, 1,147.20 and 694.02 is: 1,044.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.06 : 1,147.20 = 694.02 : x
  2. Step 2: Convert to fraction form
    762.06/1,147.20 = 694.02/x
  3. Step 3: Cross multiply
    762.06x = 1,147.20 × 694.02
  4. Step 4: Simplify right side
    762.06x = 796,179.74
  5. Step 5: Solve for x
    x = 796,179.74/762.06
  6. Step 6: Final answer
    x = 1,044.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.