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Finding the Fourth Proportional to 1,701.97, 2,552.66 and 777.31

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Solution

The fourth proportional to 1,701.97, 2,552.66 and 777.31 is: 1,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,701.97 : 2,552.66 = 777.31 : x
  2. Step 2: Convert to fraction form
    1,701.97/2,552.66 = 777.31/x
  3. Step 3: Cross multiply
    1,701.97x = 2,552.66 × 777.31
  4. Step 4: Simplify right side
    1,701.97x = 1,984,208.14
  5. Step 5: Solve for x
    x = 1,984,208.14/1,701.97
  6. Step 6: Final answer
    x = 1,165.83

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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.