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Finding the Fourth Proportional to 822.23, 1,235.26 and 778.00

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Solution

The fourth proportional to 822.23, 1,235.26 and 778.00 is: 1,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.23 : 1,235.26 = 778.00 : x
  2. Step 2: Convert to fraction form
    822.23/1,235.26 = 778.00/x
  3. Step 3: Cross multiply
    822.23x = 1,235.26 × 778.00
  4. Step 4: Simplify right side
    822.23x = 961,026.10
  5. Step 5: Solve for x
    x = 961,026.10/822.23
  6. Step 6: Final answer
    x = 1,168.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.