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Finding the Fourth Proportional to 1,504.73, 2,076.54 and 841.64

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Solution

The fourth proportional to 1,504.73, 2,076.54 and 841.64 is: 1,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.73 : 2,076.54 = 841.64 : x
  2. Step 2: Convert to fraction form
    1,504.73/2,076.54 = 841.64/x
  3. Step 3: Cross multiply
    1,504.73x = 2,076.54 × 841.64
  4. Step 4: Simplify right side
    1,504.73x = 1,747,697.27
  5. Step 5: Solve for x
    x = 1,747,697.27/1,504.73
  6. Step 6: Final answer
    x = 1,161.47

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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.