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Finding the Fourth Proportional to 698.98, 1,048.58 and 236.81

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Solution

The fourth proportional to 698.98, 1,048.58 and 236.81 is: 355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.98 : 1,048.58 = 236.81 : x
  2. Step 2: Convert to fraction form
    698.98/1,048.58 = 236.81/x
  3. Step 3: Cross multiply
    698.98x = 1,048.58 × 236.81
  4. Step 4: Simplify right side
    698.98x = 248,316.08
  5. Step 5: Solve for x
    x = 248,316.08/698.98
  6. Step 6: Final answer
    x = 355.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.