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Finding the Fourth Proportional to 1,428.64, 2,142.94 and 454.74

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Solution

The fourth proportional to 1,428.64, 2,142.94 and 454.74 is: 682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.64 : 2,142.94 = 454.74 : x
  2. Step 2: Convert to fraction form
    1,428.64/2,142.94 = 454.74/x
  3. Step 3: Cross multiply
    1,428.64x = 2,142.94 × 454.74
  4. Step 4: Simplify right side
    1,428.64x = 974,480.54
  5. Step 5: Solve for x
    x = 974,480.54/1,428.64
  6. Step 6: Final answer
    x = 682.10

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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.