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Finding the Fourth Proportional to 1,605.53, 2,405.93 and 728.30

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Solution

The fourth proportional to 1,605.53, 2,405.93 and 728.30 is: 1,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.53 : 2,405.93 = 728.30 : x
  2. Step 2: Convert to fraction form
    1,605.53/2,405.93 = 728.30/x
  3. Step 3: Cross multiply
    1,605.53x = 2,405.93 × 728.30
  4. Step 4: Simplify right side
    1,605.53x = 1,752,241.19
  5. Step 5: Solve for x
    x = 1,752,241.19/1,605.53
  6. Step 6: Final answer
    x = 1,091.38

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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.