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Finding the Fourth Proportional to 1,364.35, 2,044.81 and 583.43

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Solution

The fourth proportional to 1,364.35, 2,044.81 and 583.43 is: 874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.35 : 2,044.81 = 583.43 : x
  2. Step 2: Convert to fraction form
    1,364.35/2,044.81 = 583.43/x
  3. Step 3: Cross multiply
    1,364.35x = 2,044.81 × 583.43
  4. Step 4: Simplify right side
    1,364.35x = 1,193,007.63
  5. Step 5: Solve for x
    x = 1,193,007.63/1,364.35
  6. Step 6: Final answer
    x = 874.42

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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.