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Finding the Fourth Proportional to 823.61, 1,235.63 and 677.60

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Solution

The fourth proportional to 823.61, 1,235.63 and 677.60 is: 1,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.61 : 1,235.63 = 677.60 : x
  2. Step 2: Convert to fraction form
    823.61/1,235.63 = 677.60/x
  3. Step 3: Cross multiply
    823.61x = 1,235.63 × 677.60
  4. Step 4: Simplify right side
    823.61x = 837,262.89
  5. Step 5: Solve for x
    x = 837,262.89/823.61
  6. Step 6: Final answer
    x = 1,016.58

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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.