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Finding the Fourth Proportional to 941.96, 1,412.66 and 394.04

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Solution

The fourth proportional to 941.96, 1,412.66 and 394.04 is: 590.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.96 : 1,412.66 = 394.04 : x
  2. Step 2: Convert to fraction form
    941.96/1,412.66 = 394.04/x
  3. Step 3: Cross multiply
    941.96x = 1,412.66 × 394.04
  4. Step 4: Simplify right side
    941.96x = 556,649.06
  5. Step 5: Solve for x
    x = 556,649.06/941.96
  6. Step 6: Final answer
    x = 590.95

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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.