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Finding the Fourth Proportional to 1,102.02, 1,652.94 and 280.28

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Solution

The fourth proportional to 1,102.02, 1,652.94 and 280.28 is: 420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.02 : 1,652.94 = 280.28 : x
  2. Step 2: Convert to fraction form
    1,102.02/1,652.94 = 280.28/x
  3. Step 3: Cross multiply
    1,102.02x = 1,652.94 × 280.28
  4. Step 4: Simplify right side
    1,102.02x = 463,286.02
  5. Step 5: Solve for x
    x = 463,286.02/1,102.02
  6. Step 6: Final answer
    x = 420.40

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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.