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Finding the Fourth Proportional to 1,324.73, 1,827.02 and 993.89

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Solution

The fourth proportional to 1,324.73, 1,827.02 and 993.89 is: 1,370.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.73 : 1,827.02 = 993.89 : x
  2. Step 2: Convert to fraction form
    1,324.73/1,827.02 = 993.89/x
  3. Step 3: Cross multiply
    1,324.73x = 1,827.02 × 993.89
  4. Step 4: Simplify right side
    1,324.73x = 1,815,856.91
  5. Step 5: Solve for x
    x = 1,815,856.91/1,324.73
  6. Step 6: Final answer
    x = 1,370.74

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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.