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Finding the Fourth Proportional to 1,701.69, 2,552.33 and 727.07

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Solution

The fourth proportional to 1,701.69, 2,552.33 and 727.07 is: 1,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.69 : 2,552.33 = 727.07 : x
  2. Step 2: Convert to fraction form
    1,701.69/2,552.33 = 727.07/x
  3. Step 3: Cross multiply
    1,701.69x = 2,552.33 × 727.07
  4. Step 4: Simplify right side
    1,701.69x = 1,855,706.18
  5. Step 5: Solve for x
    x = 1,855,706.18/1,701.69
  6. Step 6: Final answer
    x = 1,090.51

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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.