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Finding the Fourth Proportional to 1,394.98, 2,093.28 and 746.08

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Solution

The fourth proportional to 1,394.98, 2,093.28 and 746.08 is: 1,119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.98 : 2,093.28 = 746.08 : x
  2. Step 2: Convert to fraction form
    1,394.98/2,093.28 = 746.08/x
  3. Step 3: Cross multiply
    1,394.98x = 2,093.28 × 746.08
  4. Step 4: Simplify right side
    1,394.98x = 1,561,754.34
  5. Step 5: Solve for x
    x = 1,561,754.34/1,394.98
  6. Step 6: Final answer
    x = 1,119.55

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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.