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Finding the Fourth Proportional to 1,298.44, 1,792.22 and 826.35

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Solution

The fourth proportional to 1,298.44, 1,792.22 and 826.35 is: 1,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.44 : 1,792.22 = 826.35 : x
  2. Step 2: Convert to fraction form
    1,298.44/1,792.22 = 826.35/x
  3. Step 3: Cross multiply
    1,298.44x = 1,792.22 × 826.35
  4. Step 4: Simplify right side
    1,298.44x = 1,481,001.00
  5. Step 5: Solve for x
    x = 1,481,001.00/1,298.44
  6. Step 6: Final answer
    x = 1,140.60

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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.