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Finding the Fourth Proportional to 722.66, 1,084.26 and 434.30

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Solution

The fourth proportional to 722.66, 1,084.26 and 434.30 is: 651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.66 : 1,084.26 = 434.30 : x
  2. Step 2: Convert to fraction form
    722.66/1,084.26 = 434.30/x
  3. Step 3: Cross multiply
    722.66x = 1,084.26 × 434.30
  4. Step 4: Simplify right side
    722.66x = 470,894.12
  5. Step 5: Solve for x
    x = 470,894.12/722.66
  6. Step 6: Final answer
    x = 651.61

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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.