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Finding the Fourth Proportional to 1,504.79, 2,076.70 and 841.68

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Solution

The fourth proportional to 1,504.79, 2,076.70 and 841.68 is: 1,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.79 : 2,076.70 = 841.68 : x
  2. Step 2: Convert to fraction form
    1,504.79/2,076.70 = 841.68/x
  3. Step 3: Cross multiply
    1,504.79x = 2,076.70 × 841.68
  4. Step 4: Simplify right side
    1,504.79x = 1,747,919.80
  5. Step 5: Solve for x
    x = 1,747,919.80/1,504.79
  6. Step 6: Final answer
    x = 1,161.57

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