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Finding the Fourth Proportional to 722.47, 1,083.05 and 260.14

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Solution

The fourth proportional to 722.47, 1,083.05 and 260.14 is: 389.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.47 : 1,083.05 = 260.14 : x
  2. Step 2: Convert to fraction form
    722.47/1,083.05 = 260.14/x
  3. Step 3: Cross multiply
    722.47x = 1,083.05 × 260.14
  4. Step 4: Simplify right side
    722.47x = 281,744.63
  5. Step 5: Solve for x
    x = 281,744.63/722.47
  6. Step 6: Final answer
    x = 389.97

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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.