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Finding the Fourth Proportional to 1,292.37, 1,939.49 and 470.71

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Solution

The fourth proportional to 1,292.37, 1,939.49 and 470.71 is: 706.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.37 : 1,939.49 = 470.71 : x
  2. Step 2: Convert to fraction form
    1,292.37/1,939.49 = 470.71/x
  3. Step 3: Cross multiply
    1,292.37x = 1,939.49 × 470.71
  4. Step 4: Simplify right side
    1,292.37x = 912,937.34
  5. Step 5: Solve for x
    x = 912,937.34/1,292.37
  6. Step 6: Final answer
    x = 706.41

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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.