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Finding the Fourth Proportional to 1,428.33, 2,142.36 and 455.07

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Solution

The fourth proportional to 1,428.33, 2,142.36 and 455.07 is: 682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.33 : 2,142.36 = 455.07 : x
  2. Step 2: Convert to fraction form
    1,428.33/2,142.36 = 455.07/x
  3. Step 3: Cross multiply
    1,428.33x = 2,142.36 × 455.07
  4. Step 4: Simplify right side
    1,428.33x = 974,923.77
  5. Step 5: Solve for x
    x = 974,923.77/1,428.33
  6. Step 6: Final answer
    x = 682.56

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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.