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Finding the Fourth Proportional to 1,429.70, 2,144.71 and 455.58

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Solution

The fourth proportional to 1,429.70, 2,144.71 and 455.58 is: 683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.70 : 2,144.71 = 455.58 : x
  2. Step 2: Convert to fraction form
    1,429.70/2,144.71 = 455.58/x
  3. Step 3: Cross multiply
    1,429.70x = 2,144.71 × 455.58
  4. Step 4: Simplify right side
    1,429.70x = 977,086.98
  5. Step 5: Solve for x
    x = 977,086.98/1,429.70
  6. Step 6: Final answer
    x = 683.42

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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.