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Finding the Fourth Proportional to 1,261.47, 1,890.83 and 439.31

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Solution

The fourth proportional to 1,261.47, 1,890.83 and 439.31 is: 658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.47 : 1,890.83 = 439.31 : x
  2. Step 2: Convert to fraction form
    1,261.47/1,890.83 = 439.31/x
  3. Step 3: Cross multiply
    1,261.47x = 1,890.83 × 439.31
  4. Step 4: Simplify right side
    1,261.47x = 830,648.88
  5. Step 5: Solve for x
    x = 830,648.88/1,261.47
  6. Step 6: Final answer
    x = 658.48

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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.