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Finding the Fourth Proportional to 1,664.61, 2,496.93 and 798.72

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Solution

The fourth proportional to 1,664.61, 2,496.93 and 798.72 is: 1,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.61 : 2,496.93 = 798.72 : x
  2. Step 2: Convert to fraction form
    1,664.61/2,496.93 = 798.72/x
  3. Step 3: Cross multiply
    1,664.61x = 2,496.93 × 798.72
  4. Step 4: Simplify right side
    1,664.61x = 1,994,347.93
  5. Step 5: Solve for x
    x = 1,994,347.93/1,664.61
  6. Step 6: Final answer
    x = 1,198.09

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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.