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Finding the Fourth Proportional to 920.30, 1,269.18 and 605.34

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Solution

The fourth proportional to 920.30, 1,269.18 and 605.34 is: 834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.30 : 1,269.18 = 605.34 : x
  2. Step 2: Convert to fraction form
    920.30/1,269.18 = 605.34/x
  3. Step 3: Cross multiply
    920.30x = 1,269.18 × 605.34
  4. Step 4: Simplify right side
    920.30x = 768,285.42
  5. Step 5: Solve for x
    x = 768,285.42/920.30
  6. Step 6: Final answer
    x = 834.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.