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Finding the Fourth Proportional to 1,751.27, 2,626.96 and 655.43

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Solution

The fourth proportional to 1,751.27, 2,626.96 and 655.43 is: 983.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.27 : 2,626.96 = 655.43 : x
  2. Step 2: Convert to fraction form
    1,751.27/2,626.96 = 655.43/x
  3. Step 3: Cross multiply
    1,751.27x = 2,626.96 × 655.43
  4. Step 4: Simplify right side
    1,751.27x = 1,721,775.26
  5. Step 5: Solve for x
    x = 1,721,775.26/1,751.27
  6. Step 6: Final answer
    x = 983.16

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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.