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Finding the Fourth Proportional to 1,292.94, 1,939.42 and 471.24

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Solution

The fourth proportional to 1,292.94, 1,939.42 and 471.24 is: 706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.94 : 1,939.42 = 471.24 : x
  2. Step 2: Convert to fraction form
    1,292.94/1,939.42 = 471.24/x
  3. Step 3: Cross multiply
    1,292.94x = 1,939.42 × 471.24
  4. Step 4: Simplify right side
    1,292.94x = 913,932.28
  5. Step 5: Solve for x
    x = 913,932.28/1,292.94
  6. Step 6: Final answer
    x = 706.86

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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.