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Finding the Fourth Proportional to 785.73, 1,084.35 and 436.43

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Solution

The fourth proportional to 785.73, 1,084.35 and 436.43 is: 602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.73 : 1,084.35 = 436.43 : x
  2. Step 2: Convert to fraction form
    785.73/1,084.35 = 436.43/x
  3. Step 3: Cross multiply
    785.73x = 1,084.35 × 436.43
  4. Step 4: Simplify right side
    785.73x = 473,237.45
  5. Step 5: Solve for x
    x = 473,237.45/785.73
  6. Step 6: Final answer
    x = 602.29

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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.