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Finding the Fourth Proportional to 1,491.33, 2,058.15 and 828.37

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Solution

The fourth proportional to 1,491.33, 2,058.15 and 828.37 is: 1,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.33 : 2,058.15 = 828.37 : x
  2. Step 2: Convert to fraction form
    1,491.33/2,058.15 = 828.37/x
  3. Step 3: Cross multiply
    1,491.33x = 2,058.15 × 828.37
  4. Step 4: Simplify right side
    1,491.33x = 1,704,909.72
  5. Step 5: Solve for x
    x = 1,704,909.72/1,491.33
  6. Step 6: Final answer
    x = 1,143.21

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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.