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Finding the Fourth Proportional to 1,406.34, 1,940.13 and 927.72

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Solution

The fourth proportional to 1,406.34, 1,940.13 and 927.72 is: 1,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.34 : 1,940.13 = 927.72 : x
  2. Step 2: Convert to fraction form
    1,406.34/1,940.13 = 927.72/x
  3. Step 3: Cross multiply
    1,406.34x = 1,940.13 × 927.72
  4. Step 4: Simplify right side
    1,406.34x = 1,799,897.40
  5. Step 5: Solve for x
    x = 1,799,897.40/1,406.34
  6. Step 6: Final answer
    x = 1,279.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.