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Finding the Fourth Proportional to 1,323.52, 1,826.13 and 857.50

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Solution

The fourth proportional to 1,323.52, 1,826.13 and 857.50 is: 1,183.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.52 : 1,826.13 = 857.50 : x
  2. Step 2: Convert to fraction form
    1,323.52/1,826.13 = 857.50/x
  3. Step 3: Cross multiply
    1,323.52x = 1,826.13 × 857.50
  4. Step 4: Simplify right side
    1,323.52x = 1,565,906.48
  5. Step 5: Solve for x
    x = 1,565,906.48/1,323.52
  6. Step 6: Final answer
    x = 1,183.14

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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.