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Finding the Fourth Proportional to 1,215.85, 1,822.40 and 484.57

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Solution

The fourth proportional to 1,215.85, 1,822.40 and 484.57 is: 726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.85 : 1,822.40 = 484.57 : x
  2. Step 2: Convert to fraction form
    1,215.85/1,822.40 = 484.57/x
  3. Step 3: Cross multiply
    1,215.85x = 1,822.40 × 484.57
  4. Step 4: Simplify right side
    1,215.85x = 883,080.37
  5. Step 5: Solve for x
    x = 883,080.37/1,215.85
  6. Step 6: Final answer
    x = 726.31

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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.