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Finding the Fourth Proportional to 1,028.08, 1,418.72 and 586.12

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Solution

The fourth proportional to 1,028.08, 1,418.72 and 586.12 is: 808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.08 : 1,418.72 = 586.12 : x
  2. Step 2: Convert to fraction form
    1,028.08/1,418.72 = 586.12/x
  3. Step 3: Cross multiply
    1,028.08x = 1,418.72 × 586.12
  4. Step 4: Simplify right side
    1,028.08x = 831,540.17
  5. Step 5: Solve for x
    x = 831,540.17/1,028.08
  6. Step 6: Final answer
    x = 808.83

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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.