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Finding the Fourth Proportional to 1,428.52, 2,142.86 and 454.54

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Solution

The fourth proportional to 1,428.52, 2,142.86 and 454.54 is: 681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.52 : 2,142.86 = 454.54 : x
  2. Step 2: Convert to fraction form
    1,428.52/2,142.86 = 454.54/x
  3. Step 3: Cross multiply
    1,428.52x = 2,142.86 × 454.54
  4. Step 4: Simplify right side
    1,428.52x = 974,015.58
  5. Step 5: Solve for x
    x = 974,015.58/1,428.52
  6. Step 6: Final answer
    x = 681.84

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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.