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Finding the Fourth Proportional to 841.32, 1,161.05 and 468.33

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Solution

The fourth proportional to 841.32, 1,161.05 and 468.33 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.32 : 1,161.05 = 468.33 : x
  2. Step 2: Convert to fraction form
    841.32/1,161.05 = 468.33/x
  3. Step 3: Cross multiply
    841.32x = 1,161.05 × 468.33
  4. Step 4: Simplify right side
    841.32x = 543,754.55
  5. Step 5: Solve for x
    x = 543,754.55/841.32
  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.