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Finding the Fourth Proportional to 1,425.52, 1,966.66 and 827.91

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Solution

The fourth proportional to 1,425.52, 1,966.66 and 827.91 is: 1,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.52 : 1,966.66 = 827.91 : x
  2. Step 2: Convert to fraction form
    1,425.52/1,966.66 = 827.91/x
  3. Step 3: Cross multiply
    1,425.52x = 1,966.66 × 827.91
  4. Step 4: Simplify right side
    1,425.52x = 1,628,215.41
  5. Step 5: Solve for x
    x = 1,628,215.41/1,425.52
  6. Step 6: Final answer
    x = 1,142.19

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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.