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Finding the Fourth Proportional to 1,028.61, 1,543.52 and 443.56

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Solution

The fourth proportional to 1,028.61, 1,543.52 and 443.56 is: 665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.61 : 1,543.52 = 443.56 : x
  2. Step 2: Convert to fraction form
    1,028.61/1,543.52 = 443.56/x
  3. Step 3: Cross multiply
    1,028.61x = 1,543.52 × 443.56
  4. Step 4: Simplify right side
    1,028.61x = 684,643.73
  5. Step 5: Solve for x
    x = 684,643.73/1,028.61
  6. Step 6: Final answer
    x = 665.60

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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.