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Finding the Fourth Proportional to 1,434.12, 2,152.02 and 664.62

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Solution

The fourth proportional to 1,434.12, 2,152.02 and 664.62 is: 997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.12 : 2,152.02 = 664.62 : x
  2. Step 2: Convert to fraction form
    1,434.12/2,152.02 = 664.62/x
  3. Step 3: Cross multiply
    1,434.12x = 2,152.02 × 664.62
  4. Step 4: Simplify right side
    1,434.12x = 1,430,275.53
  5. Step 5: Solve for x
    x = 1,430,275.53/1,434.12
  6. Step 6: Final answer
    x = 997.32

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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.