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Finding the Fourth Proportional to 1,215.03, 1,821.82 and 511.40

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Solution

The fourth proportional to 1,215.03, 1,821.82 and 511.40 is: 766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.03 : 1,821.82 = 511.40 : x
  2. Step 2: Convert to fraction form
    1,215.03/1,821.82 = 511.40/x
  3. Step 3: Cross multiply
    1,215.03x = 1,821.82 × 511.40
  4. Step 4: Simplify right side
    1,215.03x = 931,671.30
  5. Step 5: Solve for x
    x = 931,671.30/1,215.03
  6. Step 6: Final answer
    x = 766.79

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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.