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Finding the Fourth Proportional to 830.24, 1,241.40 and 810.80

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Solution

The fourth proportional to 830.24, 1,241.40 and 810.80 is: 1,212.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.24 : 1,241.40 = 810.80 : x
  2. Step 2: Convert to fraction form
    830.24/1,241.40 = 810.80/x
  3. Step 3: Cross multiply
    830.24x = 1,241.40 × 810.80
  4. Step 4: Simplify right side
    830.24x = 1,006,527.12
  5. Step 5: Solve for x
    x = 1,006,527.12/830.24
  6. Step 6: Final answer
    x = 1,212.33

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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.