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Finding the Fourth Proportional to 1,008.44, 1,389.71 and 868.51

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Solution

The fourth proportional to 1,008.44, 1,389.71 and 868.51 is: 1,196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.44 : 1,389.71 = 868.51 : x
  2. Step 2: Convert to fraction form
    1,008.44/1,389.71 = 868.51/x
  3. Step 3: Cross multiply
    1,008.44x = 1,389.71 × 868.51
  4. Step 4: Simplify right side
    1,008.44x = 1,206,977.03
  5. Step 5: Solve for x
    x = 1,206,977.03/1,008.44
  6. Step 6: Final answer
    x = 1,196.88

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1.5x scale

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.