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Finding the Fourth Proportional to 941.65, 1,412.30 and 274.63

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Solution

The fourth proportional to 941.65, 1,412.30 and 274.63 is: 411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.65 : 1,412.30 = 274.63 : x
  2. Step 2: Convert to fraction form
    941.65/1,412.30 = 274.63/x
  3. Step 3: Cross multiply
    941.65x = 1,412.30 × 274.63
  4. Step 4: Simplify right side
    941.65x = 387,855.05
  5. Step 5: Solve for x
    x = 387,855.05/941.65
  6. Step 6: Final answer
    x = 411.89

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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.