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Finding the Fourth Proportional to 1,214.92, 1,823.26 and 484.70

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Solution

The fourth proportional to 1,214.92, 1,823.26 and 484.70 is: 727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.92 : 1,823.26 = 484.70 : x
  2. Step 2: Convert to fraction form
    1,214.92/1,823.26 = 484.70/x
  3. Step 3: Cross multiply
    1,214.92x = 1,823.26 × 484.70
  4. Step 4: Simplify right side
    1,214.92x = 883,731.70
  5. Step 5: Solve for x
    x = 883,731.70/1,214.92
  6. Step 6: Final answer
    x = 727.40

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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.