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Finding the Fourth Proportional to 1,486.20, 2,228.44 and 511.80

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Solution

The fourth proportional to 1,486.20, 2,228.44 and 511.80 is: 767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.20 : 2,228.44 = 511.80 : x
  2. Step 2: Convert to fraction form
    1,486.20/2,228.44 = 511.80/x
  3. Step 3: Cross multiply
    1,486.20x = 2,228.44 × 511.80
  4. Step 4: Simplify right side
    1,486.20x = 1,140,515.59
  5. Step 5: Solve for x
    x = 1,140,515.59/1,486.20
  6. Step 6: Final answer
    x = 767.40

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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.