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Finding the Fourth Proportional to 1,665.82, 2,498.77 and 570.17

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Solution

The fourth proportional to 1,665.82, 2,498.77 and 570.17 is: 855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.82 : 2,498.77 = 570.17 : x
  2. Step 2: Convert to fraction form
    1,665.82/2,498.77 = 570.17/x
  3. Step 3: Cross multiply
    1,665.82x = 2,498.77 × 570.17
  4. Step 4: Simplify right side
    1,665.82x = 1,424,727.44
  5. Step 5: Solve for x
    x = 1,424,727.44/1,665.82
  6. Step 6: Final answer
    x = 855.27

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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.