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Finding the Fourth Proportional to 1,232.03, 1,699.83 and 789.16

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Solution

The fourth proportional to 1,232.03, 1,699.83 and 789.16 is: 1,088.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.03 : 1,699.83 = 789.16 : x
  2. Step 2: Convert to fraction form
    1,232.03/1,699.83 = 789.16/x
  3. Step 3: Cross multiply
    1,232.03x = 1,699.83 × 789.16
  4. Step 4: Simplify right side
    1,232.03x = 1,341,433.59
  5. Step 5: Solve for x
    x = 1,341,433.59/1,232.03
  6. Step 6: Final answer
    x = 1,088.80

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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.