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Finding the Fourth Proportional to 1,214.80, 1,821.24 and 824.32

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Solution

The fourth proportional to 1,214.80, 1,821.24 and 824.32 is: 1,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.80 : 1,821.24 = 824.32 : x
  2. Step 2: Convert to fraction form
    1,214.80/1,821.24 = 824.32/x
  3. Step 3: Cross multiply
    1,214.80x = 1,821.24 × 824.32
  4. Step 4: Simplify right side
    1,214.80x = 1,501,284.56
  5. Step 5: Solve for x
    x = 1,501,284.56/1,214.80
  6. Step 6: Final answer
    x = 1,235.83

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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.