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Finding the Fourth Proportional to 1,428.05, 2,142.88 and 562.97

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Solution

The fourth proportional to 1,428.05, 2,142.88 and 562.97 is: 844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.05 : 2,142.88 = 562.97 : x
  2. Step 2: Convert to fraction form
    1,428.05/2,142.88 = 562.97/x
  3. Step 3: Cross multiply
    1,428.05x = 2,142.88 × 562.97
  4. Step 4: Simplify right side
    1,428.05x = 1,206,377.15
  5. Step 5: Solve for x
    x = 1,206,377.15/1,428.05
  6. Step 6: Final answer
    x = 844.77

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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.