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Finding the Fourth Proportional to 823.41, 1,235.21 and 670.64

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Solution

The fourth proportional to 823.41, 1,235.21 and 670.64 is: 1,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.41 : 1,235.21 = 670.64 : x
  2. Step 2: Convert to fraction form
    823.41/1,235.21 = 670.64/x
  3. Step 3: Cross multiply
    823.41x = 1,235.21 × 670.64
  4. Step 4: Simplify right side
    823.41x = 828,371.71
  5. Step 5: Solve for x
    x = 828,371.71/823.41
  6. Step 6: Final answer
    x = 1,006.03

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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.