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Finding the Fourth Proportional to 1,261.11, 1,892.28 and 439.02

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Solution

The fourth proportional to 1,261.11, 1,892.28 and 439.02 is: 658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.11 : 1,892.28 = 439.02 : x
  2. Step 2: Convert to fraction form
    1,261.11/1,892.28 = 439.02/x
  3. Step 3: Cross multiply
    1,261.11x = 1,892.28 × 439.02
  4. Step 4: Simplify right side
    1,261.11x = 830,748.77
  5. Step 5: Solve for x
    x = 830,748.77/1,261.11
  6. Step 6: Final answer
    x = 658.74

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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.