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Finding the Fourth Proportional to 743.14, 1,113.93 and 280.62

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Solution

The fourth proportional to 743.14, 1,113.93 and 280.62 is: 420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.14 : 1,113.93 = 280.62 : x
  2. Step 2: Convert to fraction form
    743.14/1,113.93 = 280.62/x
  3. Step 3: Cross multiply
    743.14x = 1,113.93 × 280.62
  4. Step 4: Simplify right side
    743.14x = 312,591.04
  5. Step 5: Solve for x
    x = 312,591.04/743.14
  6. Step 6: Final answer
    x = 420.64

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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.