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Finding the Fourth Proportional to 1,414.95, 2,122.71 and 756.82

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Solution

The fourth proportional to 1,414.95, 2,122.71 and 756.82 is: 1,135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.95 : 2,122.71 = 756.82 : x
  2. Step 2: Convert to fraction form
    1,414.95/2,122.71 = 756.82/x
  3. Step 3: Cross multiply
    1,414.95x = 2,122.71 × 756.82
  4. Step 4: Simplify right side
    1,414.95x = 1,606,509.38
  5. Step 5: Solve for x
    x = 1,606,509.38/1,414.95
  6. Step 6: Final answer
    x = 1,135.38

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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.