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Finding the Fourth Proportional to 1,394.61, 2,090.45 and 469.85

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Solution

The fourth proportional to 1,394.61, 2,090.45 and 469.85 is: 704.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.61 : 2,090.45 = 469.85 : x
  2. Step 2: Convert to fraction form
    1,394.61/2,090.45 = 469.85/x
  3. Step 3: Cross multiply
    1,394.61x = 2,090.45 × 469.85
  4. Step 4: Simplify right side
    1,394.61x = 982,194.58
  5. Step 5: Solve for x
    x = 982,194.58/1,394.61
  6. Step 6: Final answer
    x = 704.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.