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Finding the Fourth Proportional to 722.04, 1,082.94 and 409.80

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Solution

The fourth proportional to 722.04, 1,082.94 and 409.80 is: 614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.04 : 1,082.94 = 409.80 : x
  2. Step 2: Convert to fraction form
    722.04/1,082.94 = 409.80/x
  3. Step 3: Cross multiply
    722.04x = 1,082.94 × 409.80
  4. Step 4: Simplify right side
    722.04x = 443,788.81
  5. Step 5: Solve for x
    x = 443,788.81/722.04
  6. Step 6: Final answer
    x = 614.63

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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.