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Finding the Fourth Proportional to 1,665.78, 2,498.80 and 843.54

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Solution

The fourth proportional to 1,665.78, 2,498.80 and 843.54 is: 1,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.78 : 2,498.80 = 843.54 : x
  2. Step 2: Convert to fraction form
    1,665.78/2,498.80 = 843.54/x
  3. Step 3: Cross multiply
    1,665.78x = 2,498.80 × 843.54
  4. Step 4: Simplify right side
    1,665.78x = 2,107,837.75
  5. Step 5: Solve for x
    x = 2,107,837.75/1,665.78
  6. Step 6: Final answer
    x = 1,265.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.