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Finding the Fourth Proportional to 1,708.01, 2,561.91 and 475.59

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Solution

The fourth proportional to 1,708.01, 2,561.91 and 475.59 is: 713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.01 : 2,561.91 = 475.59 : x
  2. Step 2: Convert to fraction form
    1,708.01/2,561.91 = 475.59/x
  3. Step 3: Cross multiply
    1,708.01x = 2,561.91 × 475.59
  4. Step 4: Simplify right side
    1,708.01x = 1,218,418.78
  5. Step 5: Solve for x
    x = 1,218,418.78/1,708.01
  6. Step 6: Final answer
    x = 713.36

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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.