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Finding the Fourth Proportional to 841.66, 1,161.42 and 468.61

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Solution

The fourth proportional to 841.66, 1,161.42 and 468.61 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.66 : 1,161.42 = 468.61 : x
  2. Step 2: Convert to fraction form
    841.66/1,161.42 = 468.61/x
  3. Step 3: Cross multiply
    841.66x = 1,161.42 × 468.61
  4. Step 4: Simplify right side
    841.66x = 544,253.03
  5. Step 5: Solve for x
    x = 544,253.03/841.66
  6. Step 6: Final answer
    x = 646.64

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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.