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Finding the Fourth Proportional to 1,207.36, 1,809.84 and 558.44

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Solution

The fourth proportional to 1,207.36, 1,809.84 and 558.44 is: 837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.36 : 1,809.84 = 558.44 : x
  2. Step 2: Convert to fraction form
    1,207.36/1,809.84 = 558.44/x
  3. Step 3: Cross multiply
    1,207.36x = 1,809.84 × 558.44
  4. Step 4: Simplify right side
    1,207.36x = 1,010,687.05
  5. Step 5: Solve for x
    x = 1,010,687.05/1,207.36
  6. Step 6: Final answer
    x = 837.10

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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.