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Finding the Fourth Proportional to 1,213.86, 1,821.15 and 700.50

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Solution

The fourth proportional to 1,213.86, 1,821.15 and 700.50 is: 1,050.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.86 : 1,821.15 = 700.50 : x
  2. Step 2: Convert to fraction form
    1,213.86/1,821.15 = 700.50/x
  3. Step 3: Cross multiply
    1,213.86x = 1,821.15 × 700.50
  4. Step 4: Simplify right side
    1,213.86x = 1,275,715.58
  5. Step 5: Solve for x
    x = 1,275,715.58/1,213.86
  6. Step 6: Final answer
    x = 1,050.96

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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.