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Finding the Fourth Proportional to 883.82, 1,219.97 and 534.50

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Solution

The fourth proportional to 883.82, 1,219.97 and 534.50 is: 737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.82 : 1,219.97 = 534.50 : x
  2. Step 2: Convert to fraction form
    883.82/1,219.97 = 534.50/x
  3. Step 3: Cross multiply
    883.82x = 1,219.97 × 534.50
  4. Step 4: Simplify right side
    883.82x = 652,071.29
  5. Step 5: Solve for x
    x = 652,071.29/883.82
  6. Step 6: Final answer
    x = 737.79

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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.