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Finding the Fourth Proportional to 1,428.73, 2,142.68 and 551.17

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Solution

The fourth proportional to 1,428.73, 2,142.68 and 551.17 is: 826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.73 : 2,142.68 = 551.17 : x
  2. Step 2: Convert to fraction form
    1,428.73/2,142.68 = 551.17/x
  3. Step 3: Cross multiply
    1,428.73x = 2,142.68 × 551.17
  4. Step 4: Simplify right side
    1,428.73x = 1,180,980.94
  5. Step 5: Solve for x
    x = 1,180,980.94/1,428.73
  6. Step 6: Final answer
    x = 826.59

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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.