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Finding the Fourth Proportional to 1,063.94, 1,468.73 and 828.54

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Solution

The fourth proportional to 1,063.94, 1,468.73 and 828.54 is: 1,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.94 : 1,468.73 = 828.54 : x
  2. Step 2: Convert to fraction form
    1,063.94/1,468.73 = 828.54/x
  3. Step 3: Cross multiply
    1,063.94x = 1,468.73 × 828.54
  4. Step 4: Simplify right side
    1,063.94x = 1,216,903.63
  5. Step 5: Solve for x
    x = 1,216,903.63/1,063.94
  6. Step 6: Final answer
    x = 1,143.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.