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Finding the Fourth Proportional to 1,102.92, 1,654.65 and 453.84

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Solution

The fourth proportional to 1,102.92, 1,654.65 and 453.84 is: 680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.92 : 1,654.65 = 453.84 : x
  2. Step 2: Convert to fraction form
    1,102.92/1,654.65 = 453.84/x
  3. Step 3: Cross multiply
    1,102.92x = 1,654.65 × 453.84
  4. Step 4: Simplify right side
    1,102.92x = 750,946.36
  5. Step 5: Solve for x
    x = 750,946.36/1,102.92
  6. Step 6: Final answer
    x = 680.87

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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.