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Finding the Fourth Proportional to 822.51, 1,228.96 and 793.80

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Solution

The fourth proportional to 822.51, 1,228.96 and 793.80 is: 1,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.51 : 1,228.96 = 793.80 : x
  2. Step 2: Convert to fraction form
    822.51/1,228.96 = 793.80/x
  3. Step 3: Cross multiply
    822.51x = 1,228.96 × 793.80
  4. Step 4: Simplify right side
    822.51x = 975,544.48
  5. Step 5: Solve for x
    x = 975,544.48/822.51
  6. Step 6: Final answer
    x = 1,186.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.