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Finding the Fourth Proportional to 1,433.25, 2,148.39 and 612.05

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Solution

The fourth proportional to 1,433.25, 2,148.39 and 612.05 is: 917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.25 : 2,148.39 = 612.05 : x
  2. Step 2: Convert to fraction form
    1,433.25/2,148.39 = 612.05/x
  3. Step 3: Cross multiply
    1,433.25x = 2,148.39 × 612.05
  4. Step 4: Simplify right side
    1,433.25x = 1,314,911.36
  5. Step 5: Solve for x
    x = 1,314,911.36/1,433.25
  6. Step 6: Final answer
    x = 917.43

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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.