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Finding the Fourth Proportional to 1,102.19, 1,653.26 and 280.46

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Solution

The fourth proportional to 1,102.19, 1,653.26 and 280.46 is: 420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.19 : 1,653.26 = 280.46 : x
  2. Step 2: Convert to fraction form
    1,102.19/1,653.26 = 280.46/x
  3. Step 3: Cross multiply
    1,102.19x = 1,653.26 × 280.46
  4. Step 4: Simplify right side
    1,102.19x = 463,676.03
  5. Step 5: Solve for x
    x = 463,676.03/1,102.19
  6. Step 6: Final answer
    x = 420.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.