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Finding the Fourth Proportional to 1,089.44, 1,633.84 and 309.40

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Solution

The fourth proportional to 1,089.44, 1,633.84 and 309.40 is: 464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.44 : 1,633.84 = 309.40 : x
  2. Step 2: Convert to fraction form
    1,089.44/1,633.84 = 309.40/x
  3. Step 3: Cross multiply
    1,089.44x = 1,633.84 × 309.40
  4. Step 4: Simplify right side
    1,089.44x = 505,510.10
  5. Step 5: Solve for x
    x = 505,510.10/1,089.44
  6. Step 6: Final answer
    x = 464.01

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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.