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Finding the Fourth Proportional to 1,102.38, 1,653.54 and 280.65

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Solution

The fourth proportional to 1,102.38, 1,653.54 and 280.65 is: 420.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.38 : 1,653.54 = 280.65 : x
  2. Step 2: Convert to fraction form
    1,102.38/1,653.54 = 280.65/x
  3. Step 3: Cross multiply
    1,102.38x = 1,653.54 × 280.65
  4. Step 4: Simplify right side
    1,102.38x = 464,066.00
  5. Step 5: Solve for x
    x = 464,066.00/1,102.38
  6. Step 6: Final answer
    x = 420.97

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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.