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Finding the Fourth Proportional to 1,482.20, 2,223.30 and 386.56

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Solution

The fourth proportional to 1,482.20, 2,223.30 and 386.56 is: 579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.20 : 2,223.30 = 386.56 : x
  2. Step 2: Convert to fraction form
    1,482.20/2,223.30 = 386.56/x
  3. Step 3: Cross multiply
    1,482.20x = 2,223.30 × 386.56
  4. Step 4: Simplify right side
    1,482.20x = 859,438.85
  5. Step 5: Solve for x
    x = 859,438.85/1,482.20
  6. Step 6: Final answer
    x = 579.84

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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.