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Finding the Fourth Proportional to 782.98, 1,081.41 and 562.25

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Solution

The fourth proportional to 782.98, 1,081.41 and 562.25 is: 776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.98 : 1,081.41 = 562.25 : x
  2. Step 2: Convert to fraction form
    782.98/1,081.41 = 562.25/x
  3. Step 3: Cross multiply
    782.98x = 1,081.41 × 562.25
  4. Step 4: Simplify right side
    782.98x = 608,022.77
  5. Step 5: Solve for x
    x = 608,022.77/782.98
  6. Step 6: Final answer
    x = 776.55

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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.