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Finding the Fourth Proportional to 722.54, 1,083.88 and 289.64

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Solution

The fourth proportional to 722.54, 1,083.88 and 289.64 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.54 : 1,083.88 = 289.64 : x
  2. Step 2: Convert to fraction form
    722.54/1,083.88 = 289.64/x
  3. Step 3: Cross multiply
    722.54x = 1,083.88 × 289.64
  4. Step 4: Simplify right side
    722.54x = 313,935.00
  5. Step 5: Solve for x
    x = 313,935.00/722.54
  6. Step 6: Final answer
    x = 434.49

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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.