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Finding the Fourth Proportional to 1,102.50, 1,653.76 and 280.79

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Solution

The fourth proportional to 1,102.50, 1,653.76 and 280.79 is: 421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.50 : 1,653.76 = 280.79 : x
  2. Step 2: Convert to fraction form
    1,102.50/1,653.76 = 280.79/x
  3. Step 3: Cross multiply
    1,102.50x = 1,653.76 × 280.79
  4. Step 4: Simplify right side
    1,102.50x = 464,351.35
  5. Step 5: Solve for x
    x = 464,351.35/1,102.50
  6. Step 6: Final answer
    x = 421.18

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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.