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Finding the Fourth Proportional to 941.86, 1,412.07 and 428.50

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Solution

The fourth proportional to 941.86, 1,412.07 and 428.50 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.86 : 1,412.07 = 428.50 : x
  2. Step 2: Convert to fraction form
    941.86/1,412.07 = 428.50/x
  3. Step 3: Cross multiply
    941.86x = 1,412.07 × 428.50
  4. Step 4: Simplify right side
    941.86x = 605,072.00
  5. Step 5: Solve for x
    x = 605,072.00/941.86
  6. Step 6: Final answer
    x = 642.42

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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.