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Finding the Fourth Proportional to 722.84, 1,082.21 and 594.36

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Solution

The fourth proportional to 722.84, 1,082.21 and 594.36 is: 889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.84 : 1,082.21 = 594.36 : x
  2. Step 2: Convert to fraction form
    722.84/1,082.21 = 594.36/x
  3. Step 3: Cross multiply
    722.84x = 1,082.21 × 594.36
  4. Step 4: Simplify right side
    722.84x = 643,222.34
  5. Step 5: Solve for x
    x = 643,222.34/722.84
  6. Step 6: Final answer
    x = 889.85

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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.