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Finding the Fourth Proportional to 1,102.56, 1,653.84 and 280.84

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Solution

The fourth proportional to 1,102.56, 1,653.84 and 280.84 is: 421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.56 : 1,653.84 = 280.84 : x
  2. Step 2: Convert to fraction form
    1,102.56/1,653.84 = 280.84/x
  3. Step 3: Cross multiply
    1,102.56x = 1,653.84 × 280.84
  4. Step 4: Simplify right side
    1,102.56x = 464,456.16
  5. Step 5: Solve for x
    x = 464,456.16/1,102.56
  6. Step 6: Final answer
    x = 421.25

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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.