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Finding the Fourth Proportional to 1,215.85, 1,821.93 and 557.35

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Solution

The fourth proportional to 1,215.85, 1,821.93 and 557.35 is: 835.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.85 : 1,821.93 = 557.35 : x
  2. Step 2: Convert to fraction form
    1,215.85/1,821.93 = 557.35/x
  3. Step 3: Cross multiply
    1,215.85x = 1,821.93 × 557.35
  4. Step 4: Simplify right side
    1,215.85x = 1,015,449.90
  5. Step 5: Solve for x
    x = 1,015,449.90/1,215.85
  6. Step 6: Final answer
    x = 835.18

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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.