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Finding the Fourth Proportional to 722.32, 1,083.12 and 289.52

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Solution

The fourth proportional to 722.32, 1,083.12 and 289.52 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.32 : 1,083.12 = 289.52 : x
  2. Step 2: Convert to fraction form
    722.32/1,083.12 = 289.52/x
  3. Step 3: Cross multiply
    722.32x = 1,083.12 × 289.52
  4. Step 4: Simplify right side
    722.32x = 313,584.90
  5. Step 5: Solve for x
    x = 313,584.90/722.32
  6. Step 6: Final answer
    x = 434.14

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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.