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Finding the Fourth Proportional to 722.51, 1,084.07 and 289.56

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Solution

The fourth proportional to 722.51, 1,084.07 and 289.56 is: 434.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.51 : 1,084.07 = 289.56 : x
  2. Step 2: Convert to fraction form
    722.51/1,084.07 = 289.56/x
  3. Step 3: Cross multiply
    722.51x = 1,084.07 × 289.56
  4. Step 4: Simplify right side
    722.51x = 313,903.31
  5. Step 5: Solve for x
    x = 313,903.31/722.51
  6. Step 6: Final answer
    x = 434.46

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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.