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Finding the Fourth Proportional to 941.20, 1,411.72 and 291.88

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Solution

The fourth proportional to 941.20, 1,411.72 and 291.88 is: 437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.20 : 1,411.72 = 291.88 : x
  2. Step 2: Convert to fraction form
    941.20/1,411.72 = 291.88/x
  3. Step 3: Cross multiply
    941.20x = 1,411.72 × 291.88
  4. Step 4: Simplify right side
    941.20x = 412,052.83
  5. Step 5: Solve for x
    x = 412,052.83/941.20
  6. Step 6: Final answer
    x = 437.80

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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.