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Finding the Fourth Proportional to 941.51, 1,412.33 and 393.74

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Solution

The fourth proportional to 941.51, 1,412.33 and 393.74 is: 590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.51 : 1,412.33 = 393.74 : x
  2. Step 2: Convert to fraction form
    941.51/1,412.33 = 393.74/x
  3. Step 3: Cross multiply
    941.51x = 1,412.33 × 393.74
  4. Step 4: Simplify right side
    941.51x = 556,092.38
  5. Step 5: Solve for x
    x = 556,092.38/941.51
  6. Step 6: Final answer
    x = 590.64

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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.