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Finding the Fourth Proportional to 1,740.50, 2,608.58 and 765.62

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Solution

The fourth proportional to 1,740.50, 2,608.58 and 765.62 is: 1,147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.50 : 2,608.58 = 765.62 : x
  2. Step 2: Convert to fraction form
    1,740.50/2,608.58 = 765.62/x
  3. Step 3: Cross multiply
    1,740.50x = 2,608.58 × 765.62
  4. Step 4: Simplify right side
    1,740.50x = 1,997,181.02
  5. Step 5: Solve for x
    x = 1,997,181.02/1,740.50
  6. Step 6: Final answer
    x = 1,147.48

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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.