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Finding the Fourth Proportional to 1,089.40, 1,633.73 and 588.97

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Solution

The fourth proportional to 1,089.40, 1,633.73 and 588.97 is: 883.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.40 : 1,633.73 = 588.97 : x
  2. Step 2: Convert to fraction form
    1,089.40/1,633.73 = 588.97/x
  3. Step 3: Cross multiply
    1,089.40x = 1,633.73 × 588.97
  4. Step 4: Simplify right side
    1,089.40x = 962,215.01
  5. Step 5: Solve for x
    x = 962,215.01/1,089.40
  6. Step 6: Final answer
    x = 883.26

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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.