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Finding the Fourth Proportional to 1,102.17, 1,653.53 and 453.09

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Solution

The fourth proportional to 1,102.17, 1,653.53 and 453.09 is: 679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.17 : 1,653.53 = 453.09 : x
  2. Step 2: Convert to fraction form
    1,102.17/1,653.53 = 453.09/x
  3. Step 3: Cross multiply
    1,102.17x = 1,653.53 × 453.09
  4. Step 4: Simplify right side
    1,102.17x = 749,195.64
  5. Step 5: Solve for x
    x = 749,195.64/1,102.17
  6. Step 6: Final answer
    x = 679.75

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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.