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Finding the Fourth Proportional to 722.63, 1,083.95 and 235.68

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Solution

The fourth proportional to 722.63, 1,083.95 and 235.68 is: 353.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.63 : 1,083.95 = 235.68 : x
  2. Step 2: Convert to fraction form
    722.63/1,083.95 = 235.68/x
  3. Step 3: Cross multiply
    722.63x = 1,083.95 × 235.68
  4. Step 4: Simplify right side
    722.63x = 255,464.16
  5. Step 5: Solve for x
    x = 255,464.16/722.63
  6. Step 6: Final answer
    x = 353.52

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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.