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Finding the Fourth Proportional to 841.41, 1,161.09 and 468.36

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Solution

The fourth proportional to 841.41, 1,161.09 and 468.36 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.41 : 1,161.09 = 468.36 : x
  2. Step 2: Convert to fraction form
    841.41/1,161.09 = 468.36/x
  3. Step 3: Cross multiply
    841.41x = 1,161.09 × 468.36
  4. Step 4: Simplify right side
    841.41x = 543,808.11
  5. Step 5: Solve for x
    x = 543,808.11/841.41
  6. Step 6: Final answer
    x = 646.31

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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.