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Finding the Fourth Proportional to 719.14, 1,079.02 and 286.18

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Solution

The fourth proportional to 719.14, 1,079.02 and 286.18 is: 429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.14 : 1,079.02 = 286.18 : x
  2. Step 2: Convert to fraction form
    719.14/1,079.02 = 286.18/x
  3. Step 3: Cross multiply
    719.14x = 1,079.02 × 286.18
  4. Step 4: Simplify right side
    719.14x = 308,793.94
  5. Step 5: Solve for x
    x = 308,793.94/719.14
  6. Step 6: Final answer
    x = 429.39

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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.