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Finding the Fourth Proportional to 736.84, 1,103.34 and 589.92

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Solution

The fourth proportional to 736.84, 1,103.34 and 589.92 is: 883.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.84 : 1,103.34 = 589.92 : x
  2. Step 2: Convert to fraction form
    736.84/1,103.34 = 589.92/x
  3. Step 3: Cross multiply
    736.84x = 1,103.34 × 589.92
  4. Step 4: Simplify right side
    736.84x = 650,882.33
  5. Step 5: Solve for x
    x = 650,882.33/736.84
  6. Step 6: Final answer
    x = 883.34

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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.