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Finding the Fourth Proportional to 1,428.29, 2,143.11 and 697.46

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Solution

The fourth proportional to 1,428.29, 2,143.11 and 697.46 is: 1,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.29 : 2,143.11 = 697.46 : x
  2. Step 2: Convert to fraction form
    1,428.29/2,143.11 = 697.46/x
  3. Step 3: Cross multiply
    1,428.29x = 2,143.11 × 697.46
  4. Step 4: Simplify right side
    1,428.29x = 1,494,722.79
  5. Step 5: Solve for x
    x = 1,494,722.79/1,428.29
  6. Step 6: Final answer
    x = 1,046.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.