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Finding the Fourth Proportional to 823.80, 1,235.70 and 809.40

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Solution

The fourth proportional to 823.80, 1,235.70 and 809.40 is: 1,214.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.80 : 1,235.70 = 809.40 : x
  2. Step 2: Convert to fraction form
    823.80/1,235.70 = 809.40/x
  3. Step 3: Cross multiply
    823.80x = 1,235.70 × 809.40
  4. Step 4: Simplify right side
    823.80x = 1,000,175.58
  5. Step 5: Solve for x
    x = 1,000,175.58/823.80
  6. Step 6: Final answer
    x = 1,214.10

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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.