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Finding the Fourth Proportional to 1,414.14, 1,950.32 and 910.07

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Solution

The fourth proportional to 1,414.14, 1,950.32 and 910.07 is: 1,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414.14 : 1,950.32 = 910.07 : x
  2. Step 2: Convert to fraction form
    1,414.14/1,950.32 = 910.07/x
  3. Step 3: Cross multiply
    1,414.14x = 1,950.32 × 910.07
  4. Step 4: Simplify right side
    1,414.14x = 1,774,934.87
  5. Step 5: Solve for x
    x = 1,774,934.87/1,414.14
  6. Step 6: Final answer
    x = 1,255.13

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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.