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Finding the Fourth Proportional to 1,329.30, 1,833.39 and 857.27

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Solution

The fourth proportional to 1,329.30, 1,833.39 and 857.27 is: 1,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.30 : 1,833.39 = 857.27 : x
  2. Step 2: Convert to fraction form
    1,329.30/1,833.39 = 857.27/x
  3. Step 3: Cross multiply
    1,329.30x = 1,833.39 × 857.27
  4. Step 4: Simplify right side
    1,329.30x = 1,571,701.08
  5. Step 5: Solve for x
    x = 1,571,701.08/1,329.30
  6. Step 6: Final answer
    x = 1,182.35

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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.