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Finding the Fourth Proportional to 1,102.31, 1,653.48 and 280.60

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Solution

The fourth proportional to 1,102.31, 1,653.48 and 280.60 is: 420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.31 : 1,653.48 = 280.60 : x
  2. Step 2: Convert to fraction form
    1,102.31/1,653.48 = 280.60/x
  3. Step 3: Cross multiply
    1,102.31x = 1,653.48 × 280.60
  4. Step 4: Simplify right side
    1,102.31x = 463,962.35
  5. Step 5: Solve for x
    x = 463,962.35/1,102.31
  6. Step 6: Final answer
    x = 420.90

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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.