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Finding the Fourth Proportional to 1,704.09, 2,556.05 and 471.54

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Solution

The fourth proportional to 1,704.09, 2,556.05 and 471.54 is: 707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.09 : 2,556.05 = 471.54 : x
  2. Step 2: Convert to fraction form
    1,704.09/2,556.05 = 471.54/x
  3. Step 3: Cross multiply
    1,704.09x = 2,556.05 × 471.54
  4. Step 4: Simplify right side
    1,704.09x = 1,205,277.46
  5. Step 5: Solve for x
    x = 1,205,277.46/1,704.09
  6. Step 6: Final answer
    x = 707.29

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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.