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Finding the Fourth Proportional to 782.85, 1,080.24 and 433.53

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Solution

The fourth proportional to 782.85, 1,080.24 and 433.53 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.85 : 1,080.24 = 433.53 : x
  2. Step 2: Convert to fraction form
    782.85/1,080.24 = 433.53/x
  3. Step 3: Cross multiply
    782.85x = 1,080.24 × 433.53
  4. Step 4: Simplify right side
    782.85x = 468,316.45
  5. Step 5: Solve for x
    x = 468,316.45/782.85
  6. Step 6: Final answer
    x = 598.22

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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.