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Finding the Fourth Proportional to 782.82, 1,080.01 and 503.20

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Solution

The fourth proportional to 782.82, 1,080.01 and 503.20 is: 694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.82 : 1,080.01 = 503.20 : x
  2. Step 2: Convert to fraction form
    782.82/1,080.01 = 503.20/x
  3. Step 3: Cross multiply
    782.82x = 1,080.01 × 503.20
  4. Step 4: Simplify right side
    782.82x = 543,461.03
  5. Step 5: Solve for x
    x = 543,461.03/782.82
  6. Step 6: Final answer
    x = 694.23

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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.