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Finding the Fourth Proportional to 722.32, 1,083.47 and 174.50

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Solution

The fourth proportional to 722.32, 1,083.47 and 174.50 is: 261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.32 : 1,083.47 = 174.50 : x
  2. Step 2: Convert to fraction form
    722.32/1,083.47 = 174.50/x
  3. Step 3: Cross multiply
    722.32x = 1,083.47 × 174.50
  4. Step 4: Simplify right side
    722.32x = 189,065.52
  5. Step 5: Solve for x
    x = 189,065.52/722.32
  6. Step 6: Final answer
    x = 261.75

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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.