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Finding the Fourth Proportional to 1,121.41, 1,546.41 and 841.20

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Solution

The fourth proportional to 1,121.41, 1,546.41 and 841.20 is: 1,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.41 : 1,546.41 = 841.20 : x
  2. Step 2: Convert to fraction form
    1,121.41/1,546.41 = 841.20/x
  3. Step 3: Cross multiply
    1,121.41x = 1,546.41 × 841.20
  4. Step 4: Simplify right side
    1,121.41x = 1,300,840.09
  5. Step 5: Solve for x
    x = 1,300,840.09/1,121.41
  6. Step 6: Final answer
    x = 1,160.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.