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Finding the Fourth Proportional to 1,074.63, 1,485.63 and 1,028.73

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Solution

The fourth proportional to 1,074.63, 1,485.63 and 1,028.73 is: 1,422.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.63 : 1,485.63 = 1,028.73 : x
  2. Step 2: Convert to fraction form
    1,074.63/1,485.63 = 1,028.73/x
  3. Step 3: Cross multiply
    1,074.63x = 1,485.63 × 1,028.73
  4. Step 4: Simplify right side
    1,074.63x = 1,528,312.15
  5. Step 5: Solve for x
    x = 1,528,312.15/1,074.63
  6. Step 6: Final answer
    x = 1,422.18

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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.