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Finding the Fourth Proportional to 841.67, 1,161.51 and 463.60

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Solution

The fourth proportional to 841.67, 1,161.51 and 463.60 is: 639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.67 : 1,161.51 = 463.60 : x
  2. Step 2: Convert to fraction form
    841.67/1,161.51 = 463.60/x
  3. Step 3: Cross multiply
    841.67x = 1,161.51 × 463.60
  4. Step 4: Simplify right side
    841.67x = 538,473.46
  5. Step 5: Solve for x
    x = 538,473.46/841.67
  6. Step 6: Final answer
    x = 639.77

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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.