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Finding the Fourth Proportional to 1,429.22, 2,144.15 and 455.32

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Solution

The fourth proportional to 1,429.22, 2,144.15 and 455.32 is: 683.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.22 : 2,144.15 = 455.32 : x
  2. Step 2: Convert to fraction form
    1,429.22/2,144.15 = 455.32/x
  3. Step 3: Cross multiply
    1,429.22x = 2,144.15 × 455.32
  4. Step 4: Simplify right side
    1,429.22x = 976,275.21
  5. Step 5: Solve for x
    x = 976,275.21/1,429.22
  6. Step 6: Final answer
    x = 683.08

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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.