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Finding the Fourth Proportional to 1,394.34, 2,091.07 and 469.63

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Solution

The fourth proportional to 1,394.34, 2,091.07 and 469.63 is: 704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.34 : 2,091.07 = 469.63 : x
  2. Step 2: Convert to fraction form
    1,394.34/2,091.07 = 469.63/x
  3. Step 3: Cross multiply
    1,394.34x = 2,091.07 × 469.63
  4. Step 4: Simplify right side
    1,394.34x = 982,029.20
  5. Step 5: Solve for x
    x = 982,029.20/1,394.34
  6. Step 6: Final answer
    x = 704.30

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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.