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Finding the Fourth Proportional to 727.30, 1,090.14 and 453.52

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Solution

The fourth proportional to 727.30, 1,090.14 and 453.52 is: 679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.30 : 1,090.14 = 453.52 : x
  2. Step 2: Convert to fraction form
    727.30/1,090.14 = 453.52/x
  3. Step 3: Cross multiply
    727.30x = 1,090.14 × 453.52
  4. Step 4: Simplify right side
    727.30x = 494,400.29
  5. Step 5: Solve for x
    x = 494,400.29/727.30
  6. Step 6: Final answer
    x = 679.77

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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.