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Finding the Fourth Proportional to 1,704.36, 2,556.51 and 471.77

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Solution

The fourth proportional to 1,704.36, 2,556.51 and 471.77 is: 707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.36 : 2,556.51 = 471.77 : x
  2. Step 2: Convert to fraction form
    1,704.36/2,556.51 = 471.77/x
  3. Step 3: Cross multiply
    1,704.36x = 2,556.51 × 471.77
  4. Step 4: Simplify right side
    1,704.36x = 1,206,071.94
  5. Step 5: Solve for x
    x = 1,206,071.94/1,704.36
  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.