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Finding the Fourth Proportional to 1,214.60, 1,822.80 and 484.70

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Solution

The fourth proportional to 1,214.60, 1,822.80 and 484.70 is: 727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.60 : 1,822.80 = 484.70 : x
  2. Step 2: Convert to fraction form
    1,214.60/1,822.80 = 484.70/x
  3. Step 3: Cross multiply
    1,214.60x = 1,822.80 × 484.70
  4. Step 4: Simplify right side
    1,214.60x = 883,511.16
  5. Step 5: Solve for x
    x = 883,511.16/1,214.60
  6. Step 6: Final answer
    x = 727.41

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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.