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Finding the Fourth Proportional to 1,069.72, 1,604.58 and 727

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Solution

The fourth proportional to 1,069.72, 1,604.58 and 727 is: 1,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.72 : 1,604.58 = 727 : x
  2. Step 2: Convert to fraction form
    1,069.72/1,604.58 = 727/x
  3. Step 3: Cross multiply
    1,069.72x = 1,604.58 × 727
  4. Step 4: Simplify right side
    1,069.72x = 1,166,529.66
  5. Step 5: Solve for x
    x = 1,166,529.66/1,069.72
  6. Step 6: Final answer
    x = 1,090.50

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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.