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Finding the Fourth Proportional to 1,633.93, 2,450.29 and 659.50

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Solution

The fourth proportional to 1,633.93, 2,450.29 and 659.50 is: 989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.93 : 2,450.29 = 659.50 : x
  2. Step 2: Convert to fraction form
    1,633.93/2,450.29 = 659.50/x
  3. Step 3: Cross multiply
    1,633.93x = 2,450.29 × 659.50
  4. Step 4: Simplify right side
    1,633.93x = 1,615,966.26
  5. Step 5: Solve for x
    x = 1,615,966.26/1,633.93
  6. Step 6: Final answer
    x = 989.01

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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.