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Finding the Fourth Proportional to 1,664.29, 2,497.97 and 843.14

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Solution

The fourth proportional to 1,664.29, 2,497.97 and 843.14 is: 1,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.29 : 2,497.97 = 843.14 : x
  2. Step 2: Convert to fraction form
    1,664.29/2,497.97 = 843.14/x
  3. Step 3: Cross multiply
    1,664.29x = 2,497.97 × 843.14
  4. Step 4: Simplify right side
    1,664.29x = 2,106,146.78
  5. Step 5: Solve for x
    x = 2,106,146.78/1,664.29
  6. Step 6: Final answer
    x = 1,265.49

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1.5x scale

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.