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Finding the Fourth Proportional to 783.82, 1,080.93 and 587.26

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Solution

The fourth proportional to 783.82, 1,080.93 and 587.26 is: 809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.82 : 1,080.93 = 587.26 : x
  2. Step 2: Convert to fraction form
    783.82/1,080.93 = 587.26/x
  3. Step 3: Cross multiply
    783.82x = 1,080.93 × 587.26
  4. Step 4: Simplify right side
    783.82x = 634,786.95
  5. Step 5: Solve for x
    x = 634,786.95/783.82
  6. Step 6: Final answer
    x = 809.86

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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.