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Finding the Fourth Proportional to 1,129.21, 1,694.82 and 945.26

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Solution

The fourth proportional to 1,129.21, 1,694.82 and 945.26 is: 1,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.21 : 1,694.82 = 945.26 : x
  2. Step 2: Convert to fraction form
    1,129.21/1,694.82 = 945.26/x
  3. Step 3: Cross multiply
    1,129.21x = 1,694.82 × 945.26
  4. Step 4: Simplify right side
    1,129.21x = 1,602,051.75
  5. Step 5: Solve for x
    x = 1,602,051.75/1,129.21
  6. Step 6: Final answer
    x = 1,418.74

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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.