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Finding the Fourth Proportional to 1,137.84, 1,570.42 and 806.28

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Solution

The fourth proportional to 1,137.84, 1,570.42 and 806.28 is: 1,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.84 : 1,570.42 = 806.28 : x
  2. Step 2: Convert to fraction form
    1,137.84/1,570.42 = 806.28/x
  3. Step 3: Cross multiply
    1,137.84x = 1,570.42 × 806.28
  4. Step 4: Simplify right side
    1,137.84x = 1,266,198.24
  5. Step 5: Solve for x
    x = 1,266,198.24/1,137.84
  6. Step 6: Final answer
    x = 1,112.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.