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Finding the Fourth Proportional to 1,805.14, 2,707.73 and 765.01

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Solution

The fourth proportional to 1,805.14, 2,707.73 and 765.01 is: 1,147.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.14 : 2,707.73 = 765.01 : x
  2. Step 2: Convert to fraction form
    1,805.14/2,707.73 = 765.01/x
  3. Step 3: Cross multiply
    1,805.14x = 2,707.73 × 765.01
  4. Step 4: Simplify right side
    1,805.14x = 2,071,442.96
  5. Step 5: Solve for x
    x = 2,071,442.96/1,805.14
  6. Step 6: Final answer
    x = 1,147.52

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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.