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Finding the Fourth Proportional to 1,704.78, 2,554.20 and 826.08

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Solution

The fourth proportional to 1,704.78, 2,554.20 and 826.08 is: 1,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.78 : 2,554.20 = 826.08 : x
  2. Step 2: Convert to fraction form
    1,704.78/2,554.20 = 826.08/x
  3. Step 3: Cross multiply
    1,704.78x = 2,554.20 × 826.08
  4. Step 4: Simplify right side
    1,704.78x = 2,109,973.54
  5. Step 5: Solve for x
    x = 2,109,973.54/1,704.78
  6. Step 6: Final answer
    x = 1,237.68

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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.