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Finding the Fourth Proportional to 1,028.24, 1,418.66 and 608.69

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Solution

The fourth proportional to 1,028.24, 1,418.66 and 608.69 is: 839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.24 : 1,418.66 = 608.69 : x
  2. Step 2: Convert to fraction form
    1,028.24/1,418.66 = 608.69/x
  3. Step 3: Cross multiply
    1,028.24x = 1,418.66 × 608.69
  4. Step 4: Simplify right side
    1,028.24x = 863,526.38
  5. Step 5: Solve for x
    x = 863,526.38/1,028.24
  6. Step 6: Final answer
    x = 839.81

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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.