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Finding the Fourth Proportional to 1,324.00, 1,826.30 and 851.72

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Solution

The fourth proportional to 1,324.00, 1,826.30 and 851.72 is: 1,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.00 : 1,826.30 = 851.72 : x
  2. Step 2: Convert to fraction form
    1,324.00/1,826.30 = 851.72/x
  3. Step 3: Cross multiply
    1,324.00x = 1,826.30 × 851.72
  4. Step 4: Simplify right side
    1,324.00x = 1,555,484.44
  5. Step 5: Solve for x
    x = 1,555,484.44/1,324.00
  6. Step 6: Final answer
    x = 1,174.84

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1.5x scale

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.