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Finding the Fourth Proportional to 722.13, 1,082.54 and 259.80

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Solution

The fourth proportional to 722.13, 1,082.54 and 259.80 is: 389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.13 : 1,082.54 = 259.80 : x
  2. Step 2: Convert to fraction form
    722.13/1,082.54 = 259.80/x
  3. Step 3: Cross multiply
    722.13x = 1,082.54 × 259.80
  4. Step 4: Simplify right side
    722.13x = 281,243.89
  5. Step 5: Solve for x
    x = 281,243.89/722.13
  6. Step 6: Final answer
    x = 389.46

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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.