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Finding the Fourth Proportional to 1,414.62, 1,950.84 and 1,064.70

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Solution

The fourth proportional to 1,414.62, 1,950.84 and 1,064.70 is: 1,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.62 : 1,950.84 = 1,064.70 : x
  2. Step 2: Convert to fraction form
    1,414.62/1,950.84 = 1,064.70/x
  3. Step 3: Cross multiply
    1,414.62x = 1,950.84 × 1,064.70
  4. Step 4: Simplify right side
    1,414.62x = 2,077,059.35
  5. Step 5: Solve for x
    x = 2,077,059.35/1,414.62
  6. Step 6: Final answer
    x = 1,468.28

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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.