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Finding the Fourth Proportional to 1,429.20, 2,143.88 and 455.32

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Solution

The fourth proportional to 1,429.20, 2,143.88 and 455.32 is: 683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.20 : 2,143.88 = 455.32 : x
  2. Step 2: Convert to fraction form
    1,429.20/2,143.88 = 455.32/x
  3. Step 3: Cross multiply
    1,429.20x = 2,143.88 × 455.32
  4. Step 4: Simplify right side
    1,429.20x = 976,151.44
  5. Step 5: Solve for x
    x = 976,151.44/1,429.20
  6. Step 6: Final answer
    x = 683.01

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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.