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Finding the Fourth Proportional to 1,232.26, 1,701.54 and 841.02

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Solution

The fourth proportional to 1,232.26, 1,701.54 and 841.02 is: 1,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.26 : 1,701.54 = 841.02 : x
  2. Step 2: Convert to fraction form
    1,232.26/1,701.54 = 841.02/x
  3. Step 3: Cross multiply
    1,232.26x = 1,701.54 × 841.02
  4. Step 4: Simplify right side
    1,232.26x = 1,431,029.17
  5. Step 5: Solve for x
    x = 1,431,029.17/1,232.26
  6. Step 6: Final answer
    x = 1,161.30

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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.