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Finding the Fourth Proportional to 1,664.34, 2,498.07 and 843.20

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Solution

The fourth proportional to 1,664.34, 2,498.07 and 843.20 is: 1,265.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.34 : 2,498.07 = 843.20 : x
  2. Step 2: Convert to fraction form
    1,664.34/2,498.07 = 843.20/x
  3. Step 3: Cross multiply
    1,664.34x = 2,498.07 × 843.20
  4. Step 4: Simplify right side
    1,664.34x = 2,106,360.13
  5. Step 5: Solve for x
    x = 2,106,360.13/1,664.34
  6. Step 6: Final answer
    x = 1,265.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.