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Finding the Fourth Proportional to 1,713.51, 2,570.09 and 480.96

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Solution

The fourth proportional to 1,713.51, 2,570.09 and 480.96 is: 721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.51 : 2,570.09 = 480.96 : x
  2. Step 2: Convert to fraction form
    1,713.51/2,570.09 = 480.96/x
  3. Step 3: Cross multiply
    1,713.51x = 2,570.09 × 480.96
  4. Step 4: Simplify right side
    1,713.51x = 1,236,108.08
  5. Step 5: Solve for x
    x = 1,236,108.08/1,713.51
  6. Step 6: Final answer
    x = 721.39

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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.