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Finding the Fourth Proportional to 920.43, 1,270.25 and 654.95

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Solution

The fourth proportional to 920.43, 1,270.25 and 654.95 is: 903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.43 : 1,270.25 = 654.95 : x
  2. Step 2: Convert to fraction form
    920.43/1,270.25 = 654.95/x
  3. Step 3: Cross multiply
    920.43x = 1,270.25 × 654.95
  4. Step 4: Simplify right side
    920.43x = 831,952.59
  5. Step 5: Solve for x
    x = 831,952.59/920.43
  6. Step 6: Final answer
    x = 903.87

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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.