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Finding the Fourth Proportional to 1,028.54, 1,419.53 and 586.49

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Solution

The fourth proportional to 1,028.54, 1,419.53 and 586.49 is: 809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.54 : 1,419.53 = 586.49 : x
  2. Step 2: Convert to fraction form
    1,028.54/1,419.53 = 586.49/x
  3. Step 3: Cross multiply
    1,028.54x = 1,419.53 × 586.49
  4. Step 4: Simplify right side
    1,028.54x = 832,530.12
  5. Step 5: Solve for x
    x = 832,530.12/1,028.54
  6. Step 6: Final answer
    x = 809.43

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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.