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Finding the Fourth Proportional to 883.56, 1,219.32 and 529.50

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Solution

The fourth proportional to 883.56, 1,219.32 and 529.50 is: 730.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.56 : 1,219.32 = 529.50 : x
  2. Step 2: Convert to fraction form
    883.56/1,219.32 = 529.50/x
  3. Step 3: Cross multiply
    883.56x = 1,219.32 × 529.50
  4. Step 4: Simplify right side
    883.56x = 645,629.94
  5. Step 5: Solve for x
    x = 645,629.94/883.56
  6. Step 6: Final answer
    x = 730.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.