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Finding the Fourth Proportional to 1,296.92, 1,790.81 and 1,057.68

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Solution

The fourth proportional to 1,296.92, 1,790.81 and 1,057.68 is: 1,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.92 : 1,790.81 = 1,057.68 : x
  2. Step 2: Convert to fraction form
    1,296.92/1,790.81 = 1,057.68/x
  3. Step 3: Cross multiply
    1,296.92x = 1,790.81 × 1,057.68
  4. Step 4: Simplify right side
    1,296.92x = 1,894,098.63
  5. Step 5: Solve for x
    x = 1,894,098.63/1,296.92
  6. Step 6: Final answer
    x = 1,460.46

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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.