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Finding the Fourth Proportional to 743.67, 1,109.34 and 620.55

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Solution

The fourth proportional to 743.67, 1,109.34 and 620.55 is: 925.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.67 : 1,109.34 = 620.55 : x
  2. Step 2: Convert to fraction form
    743.67/1,109.34 = 620.55/x
  3. Step 3: Cross multiply
    743.67x = 1,109.34 × 620.55
  4. Step 4: Simplify right side
    743.67x = 688,400.94
  5. Step 5: Solve for x
    x = 688,400.94/743.67
  6. Step 6: Final answer
    x = 925.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.