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Finding the Fourth Proportional to 1,215.28, 1,823.12 and 484.88

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Solution

The fourth proportional to 1,215.28, 1,823.12 and 484.88 is: 727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.28 : 1,823.12 = 484.88 : x
  2. Step 2: Convert to fraction form
    1,215.28/1,823.12 = 484.88/x
  3. Step 3: Cross multiply
    1,215.28x = 1,823.12 × 484.88
  4. Step 4: Simplify right side
    1,215.28x = 883,994.43
  5. Step 5: Solve for x
    x = 883,994.43/1,215.28
  6. Step 6: Final answer
    x = 727.40

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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.