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Finding the Fourth Proportional to 698, 962.86 and 461.68

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Solution

The fourth proportional to 698, 962.86 and 461.68 is: 636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    698 : 962.86 = 461.68 : x
  2. Step 2: Convert to fraction form
    698/962.86 = 461.68/x
  3. Step 3: Cross multiply
    698x = 962.86 × 461.68
  4. Step 4: Simplify right side
    698x = 444,533.20
  5. Step 5: Solve for x
    x = 444,533.20/698
  6. Step 6: Final answer
    x = 636.87

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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.