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Finding the Fourth Proportional to 1,388.24, 2,083.39 and 657.82

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Solution

The fourth proportional to 1,388.24, 2,083.39 and 657.82 is: 987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.24 : 2,083.39 = 657.82 : x
  2. Step 2: Convert to fraction form
    1,388.24/2,083.39 = 657.82/x
  3. Step 3: Cross multiply
    1,388.24x = 2,083.39 × 657.82
  4. Step 4: Simplify right side
    1,388.24x = 1,370,484.51
  5. Step 5: Solve for x
    x = 1,370,484.51/1,388.24
  6. Step 6: Final answer
    x = 987.21

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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.