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Finding the Fourth Proportional to 841.67, 1,161.46 and 468.58

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Solution

The fourth proportional to 841.67, 1,161.46 and 468.58 is: 646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.67 : 1,161.46 = 468.58 : x
  2. Step 2: Convert to fraction form
    841.67/1,161.46 = 468.58/x
  3. Step 3: Cross multiply
    841.67x = 1,161.46 × 468.58
  4. Step 4: Simplify right side
    841.67x = 544,236.93
  5. Step 5: Solve for x
    x = 544,236.93/841.67
  6. Step 6: Final answer
    x = 646.62

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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.