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Finding the Fourth Proportional to 1,751.63, 2,627.49 and 655.39

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Solution

The fourth proportional to 1,751.63, 2,627.49 and 655.39 is: 983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.63 : 2,627.49 = 655.39 : x
  2. Step 2: Convert to fraction form
    1,751.63/2,627.49 = 655.39/x
  3. Step 3: Cross multiply
    1,751.63x = 2,627.49 × 655.39
  4. Step 4: Simplify right side
    1,751.63x = 1,722,032.73
  5. Step 5: Solve for x
    x = 1,722,032.73/1,751.63
  6. Step 6: Final answer
    x = 983.11

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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.