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Finding the Fourth Proportional to 714.05, 1,071.19 and 303.19

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Solution

The fourth proportional to 714.05, 1,071.19 and 303.19 is: 454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.05 : 1,071.19 = 303.19 : x
  2. Step 2: Convert to fraction form
    714.05/1,071.19 = 303.19/x
  3. Step 3: Cross multiply
    714.05x = 1,071.19 × 303.19
  4. Step 4: Simplify right side
    714.05x = 324,770.09
  5. Step 5: Solve for x
    x = 324,770.09/714.05
  6. Step 6: Final answer
    x = 454.83

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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.