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Finding the Fourth Proportional to 1,329.99, 1,995.93 and 1,073.10

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Solution

The fourth proportional to 1,329.99, 1,995.93 and 1,073.10 is: 1,610.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.99 : 1,995.93 = 1,073.10 : x
  2. Step 2: Convert to fraction form
    1,329.99/1,995.93 = 1,073.10/x
  3. Step 3: Cross multiply
    1,329.99x = 1,995.93 × 1,073.10
  4. Step 4: Simplify right side
    1,329.99x = 2,141,832.48
  5. Step 5: Solve for x
    x = 2,141,832.48/1,329.99
  6. Step 6: Final answer
    x = 1,610.41

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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.