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Finding the Fourth Proportional to 1,704.72, 2,556.77 and 471.82

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Solution

The fourth proportional to 1,704.72, 2,556.77 and 471.82 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.72 : 2,556.77 = 471.82 : x
  2. Step 2: Convert to fraction form
    1,704.72/2,556.77 = 471.82/x
  3. Step 3: Cross multiply
    1,704.72x = 2,556.77 × 471.82
  4. Step 4: Simplify right side
    1,704.72x = 1,206,335.22
  5. Step 5: Solve for x
    x = 1,206,335.22/1,704.72
  6. Step 6: Final answer
    x = 707.64

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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.