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Finding the Fourth Proportional to 714.11, 1,071.24 and 343.81

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Solution

The fourth proportional to 714.11, 1,071.24 and 343.81 is: 515.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.11 : 1,071.24 = 343.81 : x
  2. Step 2: Convert to fraction form
    714.11/1,071.24 = 343.81/x
  3. Step 3: Cross multiply
    714.11x = 1,071.24 × 343.81
  4. Step 4: Simplify right side
    714.11x = 368,295.95
  5. Step 5: Solve for x
    x = 368,295.95/714.11
  6. Step 6: Final answer
    x = 515.74

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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.