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Finding the Fourth Proportional to 1,504.75, 2,076.60 and 841.72

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Solution

The fourth proportional to 1,504.75, 2,076.60 and 841.72 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.75 : 2,076.60 = 841.72 : x
  2. Step 2: Convert to fraction form
    1,504.75/2,076.60 = 841.72/x
  3. Step 3: Cross multiply
    1,504.75x = 2,076.60 × 841.72
  4. Step 4: Simplify right side
    1,504.75x = 1,747,901.16
  5. Step 5: Solve for x
    x = 1,747,901.16/1,504.75
  6. Step 6: Final answer
    x = 1,161.59

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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.