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Finding the Fourth Proportional to 941.69, 1,412.54 and 441.32

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Solution

The fourth proportional to 941.69, 1,412.54 and 441.32 is: 661.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.69 : 1,412.54 = 441.32 : x
  2. Step 2: Convert to fraction form
    941.69/1,412.54 = 441.32/x
  3. Step 3: Cross multiply
    941.69x = 1,412.54 × 441.32
  4. Step 4: Simplify right side
    941.69x = 623,374.54
  5. Step 5: Solve for x
    x = 623,374.54/941.69
  6. Step 6: Final answer
    x = 661.97

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