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Finding the Fourth Proportional to 1,294.29, 1,941.24 and 472.57

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Solution

The fourth proportional to 1,294.29, 1,941.24 and 472.57 is: 708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.29 : 1,941.24 = 472.57 : x
  2. Step 2: Convert to fraction form
    1,294.29/1,941.24 = 472.57/x
  3. Step 3: Cross multiply
    1,294.29x = 1,941.24 × 472.57
  4. Step 4: Simplify right side
    1,294.29x = 917,366.93
  5. Step 5: Solve for x
    x = 917,366.93/1,294.29
  6. Step 6: Final answer
    x = 708.78

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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.