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Finding the Fourth Proportional to 1,208.36, 1,809.84 and 557.12

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Solution

The fourth proportional to 1,208.36, 1,809.84 and 557.12 is: 834.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.36 : 1,809.84 = 557.12 : x
  2. Step 2: Convert to fraction form
    1,208.36/1,809.84 = 557.12/x
  3. Step 3: Cross multiply
    1,208.36x = 1,809.84 × 557.12
  4. Step 4: Simplify right side
    1,208.36x = 1,008,298.06
  5. Step 5: Solve for x
    x = 1,008,298.06/1,208.36
  6. Step 6: Final answer
    x = 834.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.