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Finding the Fourth Proportional to 1,028.22, 1,418.99 and 586.16

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Solution

The fourth proportional to 1,028.22, 1,418.99 and 586.16 is: 808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.22 : 1,418.99 = 586.16 : x
  2. Step 2: Convert to fraction form
    1,028.22/1,418.99 = 586.16/x
  3. Step 3: Cross multiply
    1,028.22x = 1,418.99 × 586.16
  4. Step 4: Simplify right side
    1,028.22x = 831,755.18
  5. Step 5: Solve for x
    x = 831,755.18/1,028.22
  6. Step 6: Final answer
    x = 808.93

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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.