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Finding the Fourth Proportional to 1,089.37, 1,633.01 and 698.28

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Solution

The fourth proportional to 1,089.37, 1,633.01 and 698.28 is: 1,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.37 : 1,633.01 = 698.28 : x
  2. Step 2: Convert to fraction form
    1,089.37/1,633.01 = 698.28/x
  3. Step 3: Cross multiply
    1,089.37x = 1,633.01 × 698.28
  4. Step 4: Simplify right side
    1,089.37x = 1,140,291.23
  5. Step 5: Solve for x
    x = 1,140,291.23/1,089.37
  6. Step 6: Final answer
    x = 1,046.74

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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.