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Finding the Fourth Proportional to 1,429.82, 2,145.06 and 455.92

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Solution

The fourth proportional to 1,429.82, 2,145.06 and 455.92 is: 683.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.82 : 2,145.06 = 455.92 : x
  2. Step 2: Convert to fraction form
    1,429.82/2,145.06 = 455.92/x
  3. Step 3: Cross multiply
    1,429.82x = 2,145.06 × 455.92
  4. Step 4: Simplify right side
    1,429.82x = 977,975.76
  5. Step 5: Solve for x
    x = 977,975.76/1,429.82
  6. Step 6: Final answer
    x = 683.99

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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.