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Finding the Fourth Proportional to 920.17, 1,270.41 and 683.86

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Solution

The fourth proportional to 920.17, 1,270.41 and 683.86 is: 944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.17 : 1,270.41 = 683.86 : x
  2. Step 2: Convert to fraction form
    920.17/1,270.41 = 683.86/x
  3. Step 3: Cross multiply
    920.17x = 1,270.41 × 683.86
  4. Step 4: Simplify right side
    920.17x = 868,775.79
  5. Step 5: Solve for x
    x = 868,775.79/920.17
  6. Step 6: Final answer
    x = 944.14

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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.