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Finding the Fourth Proportional to 1,089.99, 1,635.48 and 997.71

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Solution

The fourth proportional to 1,089.99, 1,635.48 and 997.71 is: 1,497.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.99 : 1,635.48 = 997.71 : x
  2. Step 2: Convert to fraction form
    1,089.99/1,635.48 = 997.71/x
  3. Step 3: Cross multiply
    1,089.99x = 1,635.48 × 997.71
  4. Step 4: Simplify right side
    1,089.99x = 1,631,728.62
  5. Step 5: Solve for x
    x = 1,631,728.62/1,089.99
  6. Step 6: Final answer
    x = 1,497.01

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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.