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Finding the Fourth Proportional to 1,147.04, 1,720.82 and 453.78

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Solution

The fourth proportional to 1,147.04, 1,720.82 and 453.78 is: 680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.04 : 1,720.82 = 453.78 : x
  2. Step 2: Convert to fraction form
    1,147.04/1,720.82 = 453.78/x
  3. Step 3: Cross multiply
    1,147.04x = 1,720.82 × 453.78
  4. Step 4: Simplify right side
    1,147.04x = 780,873.13
  5. Step 5: Solve for x
    x = 780,873.13/1,147.04
  6. Step 6: Final answer
    x = 680.77

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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.