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Finding the Fourth Proportional to 1,028.48, 1,419.30 and 608.81

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Solution

The fourth proportional to 1,028.48, 1,419.30 and 608.81 is: 840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.48 : 1,419.30 = 608.81 : x
  2. Step 2: Convert to fraction form
    1,028.48/1,419.30 = 608.81/x
  3. Step 3: Cross multiply
    1,028.48x = 1,419.30 × 608.81
  4. Step 4: Simplify right side
    1,028.48x = 864,076.94
  5. Step 5: Solve for x
    x = 864,076.94/1,028.48
  6. Step 6: Final answer
    x = 840.15

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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.