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Finding the Fourth Proportional to 1,429.83, 2,144.88 and 455.94

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Solution

The fourth proportional to 1,429.83, 2,144.88 and 455.94 is: 683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.83 : 2,144.88 = 455.94 : x
  2. Step 2: Convert to fraction form
    1,429.83/2,144.88 = 455.94/x
  3. Step 3: Cross multiply
    1,429.83x = 2,144.88 × 455.94
  4. Step 4: Simplify right side
    1,429.83x = 977,936.59
  5. Step 5: Solve for x
    x = 977,936.59/1,429.83
  6. Step 6: Final answer
    x = 683.95

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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.