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Finding the Fourth Proportional to 722.22, 1,083.59 and 462.35

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Solution

The fourth proportional to 722.22, 1,083.59 and 462.35 is: 693.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.22 : 1,083.59 = 462.35 : x
  2. Step 2: Convert to fraction form
    722.22/1,083.59 = 462.35/x
  3. Step 3: Cross multiply
    722.22x = 1,083.59 × 462.35
  4. Step 4: Simplify right side
    722.22x = 500,993.00
  5. Step 5: Solve for x
    x = 500,993.00/722.22
  6. Step 6: Final answer
    x = 693.68

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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.