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Finding the Fourth Proportional to 920.54, 1,270.34 and 506.54

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Solution

The fourth proportional to 920.54, 1,270.34 and 506.54 is: 699.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.54 : 1,270.34 = 506.54 : x
  2. Step 2: Convert to fraction form
    920.54/1,270.34 = 506.54/x
  3. Step 3: Cross multiply
    920.54x = 1,270.34 × 506.54
  4. Step 4: Simplify right side
    920.54x = 643,469.14
  5. Step 5: Solve for x
    x = 643,469.14/920.54
  6. Step 6: Final answer
    x = 699.02

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1.5x scale

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.