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Finding the Fourth Proportional to 1,233.93, 1,850.70 and 464.25

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Solution

The fourth proportional to 1,233.93, 1,850.70 and 464.25 is: 696.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.93 : 1,850.70 = 464.25 : x
  2. Step 2: Convert to fraction form
    1,233.93/1,850.70 = 464.25/x
  3. Step 3: Cross multiply
    1,233.93x = 1,850.70 × 464.25
  4. Step 4: Simplify right side
    1,233.93x = 859,187.48
  5. Step 5: Solve for x
    x = 859,187.48/1,233.93
  6. Step 6: Final answer
    x = 696.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.