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Finding the Fourth Proportional to 1,344.52, 2,016.73 and 420.08

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Solution

The fourth proportional to 1,344.52, 2,016.73 and 420.08 is: 630.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.52 : 2,016.73 = 420.08 : x
  2. Step 2: Convert to fraction form
    1,344.52/2,016.73 = 420.08/x
  3. Step 3: Cross multiply
    1,344.52x = 2,016.73 × 420.08
  4. Step 4: Simplify right side
    1,344.52x = 847,185.84
  5. Step 5: Solve for x
    x = 847,185.84/1,344.52
  6. Step 6: Final answer
    x = 630.11

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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.