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Finding the Fourth Proportional to 1,429.64, 2,144.61 and 455.52

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Solution

The fourth proportional to 1,429.64, 2,144.61 and 455.52 is: 683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.64 : 2,144.61 = 455.52 : x
  2. Step 2: Convert to fraction form
    1,429.64/2,144.61 = 455.52/x
  3. Step 3: Cross multiply
    1,429.64x = 2,144.61 × 455.52
  4. Step 4: Simplify right side
    1,429.64x = 976,902.02
  5. Step 5: Solve for x
    x = 976,902.02/1,429.64
  6. Step 6: Final answer
    x = 683.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.