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Finding the Fourth Proportional to 1,294.52, 1,942.04 and 835.52

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Solution

The fourth proportional to 1,294.52, 1,942.04 and 835.52 is: 1,253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.52 : 1,942.04 = 835.52 : x
  2. Step 2: Convert to fraction form
    1,294.52/1,942.04 = 835.52/x
  3. Step 3: Cross multiply
    1,294.52x = 1,942.04 × 835.52
  4. Step 4: Simplify right side
    1,294.52x = 1,622,605.64
  5. Step 5: Solve for x
    x = 1,622,605.64/1,294.52
  6. Step 6: Final answer
    x = 1,253.45

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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.