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Finding the Fourth Proportional to 1,157.99, 1,598.78 and 1,033.44

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Solution

The fourth proportional to 1,157.99, 1,598.78 and 1,033.44 is: 1,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.99 : 1,598.78 = 1,033.44 : x
  2. Step 2: Convert to fraction form
    1,157.99/1,598.78 = 1,033.44/x
  3. Step 3: Cross multiply
    1,157.99x = 1,598.78 × 1,033.44
  4. Step 4: Simplify right side
    1,157.99x = 1,652,238.04
  5. Step 5: Solve for x
    x = 1,652,238.04/1,157.99
  6. Step 6: Final answer
    x = 1,426.82

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