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Finding the Fourth Proportional to 1,434.38, 2,152.40 and 664.88

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Solution

The fourth proportional to 1,434.38, 2,152.40 and 664.88 is: 997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.38 : 2,152.40 = 664.88 : x
  2. Step 2: Convert to fraction form
    1,434.38/2,152.40 = 664.88/x
  3. Step 3: Cross multiply
    1,434.38x = 2,152.40 × 664.88
  4. Step 4: Simplify right side
    1,434.38x = 1,431,073.63
  5. Step 5: Solve for x
    x = 1,431,073.63/1,434.38
  6. Step 6: Final answer
    x = 997.70

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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.