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Finding the Fourth Proportional to 785.43, 1,083.92 and 436.14

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Solution

The fourth proportional to 785.43, 1,083.92 and 436.14 is: 601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.43 : 1,083.92 = 436.14 : x
  2. Step 2: Convert to fraction form
    785.43/1,083.92 = 436.14/x
  3. Step 3: Cross multiply
    785.43x = 1,083.92 × 436.14
  4. Step 4: Simplify right side
    785.43x = 472,738.69
  5. Step 5: Solve for x
    x = 472,738.69/785.43
  6. Step 6: Final answer
    x = 601.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.