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Finding the Fourth Proportional to 1,428.85, 2,143.58 and 454.92

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Solution

The fourth proportional to 1,428.85, 2,143.58 and 454.92 is: 682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.85 : 2,143.58 = 454.92 : x
  2. Step 2: Convert to fraction form
    1,428.85/2,143.58 = 454.92/x
  3. Step 3: Cross multiply
    1,428.85x = 2,143.58 × 454.92
  4. Step 4: Simplify right side
    1,428.85x = 975,157.41
  5. Step 5: Solve for x
    x = 975,157.41/1,428.85
  6. Step 6: Final answer
    x = 682.48

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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.