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Finding the Fourth Proportional to 875.26, 1,208.04 and 822.51

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Solution

The fourth proportional to 875.26, 1,208.04 and 822.51 is: 1,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.26 : 1,208.04 = 822.51 : x
  2. Step 2: Convert to fraction form
    875.26/1,208.04 = 822.51/x
  3. Step 3: Cross multiply
    875.26x = 1,208.04 × 822.51
  4. Step 4: Simplify right side
    875.26x = 993,624.98
  5. Step 5: Solve for x
    x = 993,624.98/875.26
  6. Step 6: Final answer
    x = 1,135.23

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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.