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Finding the Fourth Proportional to 1,059.40, 1,589.64 and 694.36

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Solution

The fourth proportional to 1,059.40, 1,589.64 and 694.36 is: 1,041.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.40 : 1,589.64 = 694.36 : x
  2. Step 2: Convert to fraction form
    1,059.40/1,589.64 = 694.36/x
  3. Step 3: Cross multiply
    1,059.40x = 1,589.64 × 694.36
  4. Step 4: Simplify right side
    1,059.40x = 1,103,782.43
  5. Step 5: Solve for x
    x = 1,103,782.43/1,059.40
  6. Step 6: Final answer
    x = 1,041.89

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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.