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Finding the Fourth Proportional to 1,491.50, 2,058.27 and 828.38

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Solution

The fourth proportional to 1,491.50, 2,058.27 and 828.38 is: 1,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.50 : 2,058.27 = 828.38 : x
  2. Step 2: Convert to fraction form
    1,491.50/2,058.27 = 828.38/x
  3. Step 3: Cross multiply
    1,491.50x = 2,058.27 × 828.38
  4. Step 4: Simplify right side
    1,491.50x = 1,705,029.70
  5. Step 5: Solve for x
    x = 1,705,029.70/1,491.50
  6. Step 6: Final answer
    x = 1,143.16

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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.