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Finding the Fourth Proportional to 1,294.18, 1,940.80 and 472.26

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Solution

The fourth proportional to 1,294.18, 1,940.80 and 472.26 is: 708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.18 : 1,940.80 = 472.26 : x
  2. Step 2: Convert to fraction form
    1,294.18/1,940.80 = 472.26/x
  3. Step 3: Cross multiply
    1,294.18x = 1,940.80 × 472.26
  4. Step 4: Simplify right side
    1,294.18x = 916,562.21
  5. Step 5: Solve for x
    x = 916,562.21/1,294.18
  6. Step 6: Final answer
    x = 708.22

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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.