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Finding the Fourth Proportional to 1,215.79, 1,824.45 and 522.46

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Solution

The fourth proportional to 1,215.79, 1,824.45 and 522.46 is: 784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.79 : 1,824.45 = 522.46 : x
  2. Step 2: Convert to fraction form
    1,215.79/1,824.45 = 522.46/x
  3. Step 3: Cross multiply
    1,215.79x = 1,824.45 × 522.46
  4. Step 4: Simplify right side
    1,215.79x = 953,202.15
  5. Step 5: Solve for x
    x = 953,202.15/1,215.79
  6. Step 6: Final answer
    x = 784.02

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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.