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Finding the Fourth Proportional to 1,083.39, 1,494.85 and 690.27

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Solution

The fourth proportional to 1,083.39, 1,494.85 and 690.27 is: 952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.39 : 1,494.85 = 690.27 : x
  2. Step 2: Convert to fraction form
    1,083.39/1,494.85 = 690.27/x
  3. Step 3: Cross multiply
    1,083.39x = 1,494.85 × 690.27
  4. Step 4: Simplify right side
    1,083.39x = 1,031,850.11
  5. Step 5: Solve for x
    x = 1,031,850.11/1,083.39
  6. Step 6: Final answer
    x = 952.43

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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.