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Finding the Fourth Proportional to 1,028.97, 1,419.93 and 586.71

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Solution

The fourth proportional to 1,028.97, 1,419.93 and 586.71 is: 809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.97 : 1,419.93 = 586.71 : x
  2. Step 2: Convert to fraction form
    1,028.97/1,419.93 = 586.71/x
  3. Step 3: Cross multiply
    1,028.97x = 1,419.93 × 586.71
  4. Step 4: Simplify right side
    1,028.97x = 833,087.13
  5. Step 5: Solve for x
    x = 833,087.13/1,028.97
  6. Step 6: Final answer
    x = 809.63

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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.