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Finding the Fourth Proportional to 1,247.94, 1,721.86 and 805.76

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Solution

The fourth proportional to 1,247.94, 1,721.86 and 805.76 is: 1,111.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.94 : 1,721.86 = 805.76 : x
  2. Step 2: Convert to fraction form
    1,247.94/1,721.86 = 805.76/x
  3. Step 3: Cross multiply
    1,247.94x = 1,721.86 × 805.76
  4. Step 4: Simplify right side
    1,247.94x = 1,387,411.43
  5. Step 5: Solve for x
    x = 1,387,411.43/1,247.94
  6. Step 6: Final answer
    x = 1,111.76

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