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Finding the Fourth Proportional to 1,026.68, 1,414.28 and 746.10

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Solution

The fourth proportional to 1,026.68, 1,414.28 and 746.10 is: 1,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.68 : 1,414.28 = 746.10 : x
  2. Step 2: Convert to fraction form
    1,026.68/1,414.28 = 746.10/x
  3. Step 3: Cross multiply
    1,026.68x = 1,414.28 × 746.10
  4. Step 4: Simplify right side
    1,026.68x = 1,055,194.31
  5. Step 5: Solve for x
    x = 1,055,194.31/1,026.68
  6. Step 6: Final answer
    x = 1,027.77

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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.