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Finding the Fourth Proportional to 1,090.67, 1,505.66 and 698.36

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Solution

The fourth proportional to 1,090.67, 1,505.66 and 698.36 is: 964.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.67 : 1,505.66 = 698.36 : x
  2. Step 2: Convert to fraction form
    1,090.67/1,505.66 = 698.36/x
  3. Step 3: Cross multiply
    1,090.67x = 1,505.66 × 698.36
  4. Step 4: Simplify right side
    1,090.67x = 1,051,481.70
  5. Step 5: Solve for x
    x = 1,051,481.70/1,090.67
  6. Step 6: Final answer
    x = 964.07

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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.