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Finding the Fourth Proportional to 911, 1,257.74 and 714.04

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Solution

The fourth proportional to 911, 1,257.74 and 714.04 is: 985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    911 : 1,257.74 = 714.04 : x
  2. Step 2: Convert to fraction form
    911/1,257.74 = 714.04/x
  3. Step 3: Cross multiply
    911x = 1,257.74 × 714.04
  4. Step 4: Simplify right side
    911x = 898,076.67
  5. Step 5: Solve for x
    x = 898,076.67/911
  6. Step 6: Final answer
    x = 985.81

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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.