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Finding the Fourth Proportional to 782.73, 1,080.23 and 433.49

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Solution

The fourth proportional to 782.73, 1,080.23 and 433.49 is: 598.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.73 : 1,080.23 = 433.49 : x
  2. Step 2: Convert to fraction form
    782.73/1,080.23 = 433.49/x
  3. Step 3: Cross multiply
    782.73x = 1,080.23 × 433.49
  4. Step 4: Simplify right side
    782.73x = 468,261.33
  5. Step 5: Solve for x
    x = 468,261.33/782.73
  6. Step 6: Final answer
    x = 598.24

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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.