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Finding the Fourth Proportional to 722.70, 1,084.05 and 601.05

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Solution

The fourth proportional to 722.70, 1,084.05 and 601.05 is: 901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.70 : 1,084.05 = 601.05 : x
  2. Step 2: Convert to fraction form
    722.70/1,084.05 = 601.05/x
  3. Step 3: Cross multiply
    722.70x = 1,084.05 × 601.05
  4. Step 4: Simplify right side
    722.70x = 651,568.25
  5. Step 5: Solve for x
    x = 651,568.25/722.70
  6. Step 6: Final answer
    x = 901.58

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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.