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Finding the Fourth Proportional to 782.92, 1,173.14 and 628.04

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Solution

The fourth proportional to 782.92, 1,173.14 and 628.04 is: 941.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.92 : 1,173.14 = 628.04 : x
  2. Step 2: Convert to fraction form
    782.92/1,173.14 = 628.04/x
  3. Step 3: Cross multiply
    782.92x = 1,173.14 × 628.04
  4. Step 4: Simplify right side
    782.92x = 736,778.85
  5. Step 5: Solve for x
    x = 736,778.85/782.92
  6. Step 6: Final answer
    x = 941.07

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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.