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Finding the Fourth Proportional to 1,102.84, 1,654 and 453.48

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Solution

The fourth proportional to 1,102.84, 1,654 and 453.48 is: 680.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.84 : 1,654 = 453.48 : x
  2. Step 2: Convert to fraction form
    1,102.84/1,654 = 453.48/x
  3. Step 3: Cross multiply
    1,102.84x = 1,654 × 453.48
  4. Step 4: Simplify right side
    1,102.84x = 750,055.92
  5. Step 5: Solve for x
    x = 750,055.92/1,102.84
  6. Step 6: Final answer
    x = 680.11

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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.