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Finding the Fourth Proportional to 1,294.25, 1,941.94 and 472.33

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Solution

The fourth proportional to 1,294.25, 1,941.94 and 472.33 is: 708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.25 : 1,941.94 = 472.33 : x
  2. Step 2: Convert to fraction form
    1,294.25/1,941.94 = 472.33/x
  3. Step 3: Cross multiply
    1,294.25x = 1,941.94 × 472.33
  4. Step 4: Simplify right side
    1,294.25x = 917,232.06
  5. Step 5: Solve for x
    x = 917,232.06/1,294.25
  6. Step 6: Final answer
    x = 708.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.