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Finding the Fourth Proportional to 1,434.00, 2,149.64 and 459.44

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Solution

The fourth proportional to 1,434.00, 2,149.64 and 459.44 is: 688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.00 : 2,149.64 = 459.44 : x
  2. Step 2: Convert to fraction form
    1,434.00/2,149.64 = 459.44/x
  3. Step 3: Cross multiply
    1,434.00x = 2,149.64 × 459.44
  4. Step 4: Simplify right side
    1,434.00x = 987,627.34
  5. Step 5: Solve for x
    x = 987,627.34/1,434.00
  6. Step 6: Final answer
    x = 688.72

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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.