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Finding the Fourth Proportional to 1,414.64, 2,121.49 and 537.11

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Solution

The fourth proportional to 1,414.64, 2,121.49 and 537.11 is: 805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.64 : 2,121.49 = 537.11 : x
  2. Step 2: Convert to fraction form
    1,414.64/2,121.49 = 537.11/x
  3. Step 3: Cross multiply
    1,414.64x = 2,121.49 × 537.11
  4. Step 4: Simplify right side
    1,414.64x = 1,139,465.55
  5. Step 5: Solve for x
    x = 1,139,465.55/1,414.64
  6. Step 6: Final answer
    x = 805.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.