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Finding the Fourth Proportional to 1,429.02, 2,143.51 and 455.20

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Solution

The fourth proportional to 1,429.02, 2,143.51 and 455.20 is: 682.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.02 : 2,143.51 = 455.20 : x
  2. Step 2: Convert to fraction form
    1,429.02/2,143.51 = 455.20/x
  3. Step 3: Cross multiply
    1,429.02x = 2,143.51 × 455.20
  4. Step 4: Simplify right side
    1,429.02x = 975,725.75
  5. Step 5: Solve for x
    x = 975,725.75/1,429.02
  6. Step 6: Final answer
    x = 682.79

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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.