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Finding the Fourth Proportional to 1,418.25, 1,957.33 and 789

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Solution

The fourth proportional to 1,418.25, 1,957.33 and 789 is: 1,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.25 : 1,957.33 = 789 : x
  2. Step 2: Convert to fraction form
    1,418.25/1,957.33 = 789/x
  3. Step 3: Cross multiply
    1,418.25x = 1,957.33 × 789
  4. Step 4: Simplify right side
    1,418.25x = 1,544,333.37
  5. Step 5: Solve for x
    x = 1,544,333.37/1,418.25
  6. Step 6: Final answer
    x = 1,088.90

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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.