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Finding the Fourth Proportional to 722.24, 1,083.84 and 559.36

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Solution

The fourth proportional to 722.24, 1,083.84 and 559.36 is: 839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.24 : 1,083.84 = 559.36 : x
  2. Step 2: Convert to fraction form
    722.24/1,083.84 = 559.36/x
  3. Step 3: Cross multiply
    722.24x = 1,083.84 × 559.36
  4. Step 4: Simplify right side
    722.24x = 606,256.74
  5. Step 5: Solve for x
    x = 606,256.74/722.24
  6. Step 6: Final answer
    x = 839.41

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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.