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Finding the Fourth Proportional to 941.89, 1,412.70 and 248.50

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Solution

The fourth proportional to 941.89, 1,412.70 and 248.50 is: 372.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.89 : 1,412.70 = 248.50 : x
  2. Step 2: Convert to fraction form
    941.89/1,412.70 = 248.50/x
  3. Step 3: Cross multiply
    941.89x = 1,412.70 × 248.50
  4. Step 4: Simplify right side
    941.89x = 351,055.95
  5. Step 5: Solve for x
    x = 351,055.95/941.89
  6. Step 6: Final answer
    x = 372.71

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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.