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Finding the Fourth Proportional to 1,032.75, 1,550.34 and 990.99

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Solution

The fourth proportional to 1,032.75, 1,550.34 and 990.99 is: 1,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.75 : 1,550.34 = 990.99 : x
  2. Step 2: Convert to fraction form
    1,032.75/1,550.34 = 990.99/x
  3. Step 3: Cross multiply
    1,032.75x = 1,550.34 × 990.99
  4. Step 4: Simplify right side
    1,032.75x = 1,536,371.44
  5. Step 5: Solve for x
    x = 1,536,371.44/1,032.75
  6. Step 6: Final answer
    x = 1,487.65

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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.