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Finding the Fourth Proportional to 1,159.37, 1,600.21 and 717

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Solution

The fourth proportional to 1,159.37, 1,600.21 and 717 is: 989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.37 : 1,600.21 = 717 : x
  2. Step 2: Convert to fraction form
    1,159.37/1,600.21 = 717/x
  3. Step 3: Cross multiply
    1,159.37x = 1,600.21 × 717
  4. Step 4: Simplify right side
    1,159.37x = 1,147,346.99
  5. Step 5: Solve for x
    x = 1,147,346.99/1,159.37
  6. Step 6: Final answer
    x = 989.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.