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Finding the Fourth Proportional to 1,780.47, 2,670.64 and 481.97

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Solution

The fourth proportional to 1,780.47, 2,670.64 and 481.97 is: 722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.47 : 2,670.64 = 481.97 : x
  2. Step 2: Convert to fraction form
    1,780.47/2,670.64 = 481.97/x
  3. Step 3: Cross multiply
    1,780.47x = 2,670.64 × 481.97
  4. Step 4: Simplify right side
    1,780.47x = 1,287,173.83
  5. Step 5: Solve for x
    x = 1,287,173.83/1,780.47
  6. Step 6: Final answer
    x = 722.94

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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.