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Finding the Fourth Proportional to 722.20, 1,083.38 and 435.46

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Solution

The fourth proportional to 722.20, 1,083.38 and 435.46 is: 653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.20 : 1,083.38 = 435.46 : x
  2. Step 2: Convert to fraction form
    722.20/1,083.38 = 435.46/x
  3. Step 3: Cross multiply
    722.20x = 1,083.38 × 435.46
  4. Step 4: Simplify right side
    722.20x = 471,768.65
  5. Step 5: Solve for x
    x = 471,768.65/722.20
  6. Step 6: Final answer
    x = 653.24

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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.