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Finding the Fourth Proportional to 1,165.11, 1,598.00 and 1,033.89

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Solution

The fourth proportional to 1,165.11, 1,598.00 and 1,033.89 is: 1,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.11 : 1,598.00 = 1,033.89 : x
  2. Step 2: Convert to fraction form
    1,165.11/1,598.00 = 1,033.89/x
  3. Step 3: Cross multiply
    1,165.11x = 1,598.00 × 1,033.89
  4. Step 4: Simplify right side
    1,165.11x = 1,652,143.06
  5. Step 5: Solve for x
    x = 1,652,143.06/1,165.11
  6. Step 6: Final answer
    x = 1,418.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.