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Finding the Fourth Proportional to 1,028.86, 1,419.98 and 656

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Solution

The fourth proportional to 1,028.86, 1,419.98 and 656 is: 905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.86 : 1,419.98 = 656 : x
  2. Step 2: Convert to fraction form
    1,028.86/1,419.98 = 656/x
  3. Step 3: Cross multiply
    1,028.86x = 1,419.98 × 656
  4. Step 4: Simplify right side
    1,028.86x = 931,506.88
  5. Step 5: Solve for x
    x = 931,506.88/1,028.86
  6. Step 6: Final answer
    x = 905.38

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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.