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Finding the Fourth Proportional to 698.48, 1,042.06 and 635.60

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Solution

The fourth proportional to 698.48, 1,042.06 and 635.60 is: 948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.48 : 1,042.06 = 635.60 : x
  2. Step 2: Convert to fraction form
    698.48/1,042.06 = 635.60/x
  3. Step 3: Cross multiply
    698.48x = 1,042.06 × 635.60
  4. Step 4: Simplify right side
    698.48x = 662,333.34
  5. Step 5: Solve for x
    x = 662,333.34/698.48
  6. Step 6: Final answer
    x = 948.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.