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Finding the Fourth Proportional to 1,092.84, 1,637.14 and 976.82

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Solution

The fourth proportional to 1,092.84, 1,637.14 and 976.82 is: 1,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.84 : 1,637.14 = 976.82 : x
  2. Step 2: Convert to fraction form
    1,092.84/1,637.14 = 976.82/x
  3. Step 3: Cross multiply
    1,092.84x = 1,637.14 × 976.82
  4. Step 4: Simplify right side
    1,092.84x = 1,599,191.09
  5. Step 5: Solve for x
    x = 1,599,191.09/1,092.84
  6. Step 6: Final answer
    x = 1,463.34

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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.