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Finding the Fourth Proportional to 699.05, 1,048.66 and 236.81

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Solution

The fourth proportional to 699.05, 1,048.66 and 236.81 is: 355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.05 : 1,048.66 = 236.81 : x
  2. Step 2: Convert to fraction form
    699.05/1,048.66 = 236.81/x
  3. Step 3: Cross multiply
    699.05x = 1,048.66 × 236.81
  4. Step 4: Simplify right side
    699.05x = 248,335.20
  5. Step 5: Solve for x
    x = 248,335.20/699.05
  6. Step 6: Final answer
    x = 355.25

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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.