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Finding the Fourth Proportional to 883.28, 1,218.60 and 533.84

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Solution

The fourth proportional to 883.28, 1,218.60 and 533.84 is: 736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.28 : 1,218.60 = 533.84 : x
  2. Step 2: Convert to fraction form
    883.28/1,218.60 = 533.84/x
  3. Step 3: Cross multiply
    883.28x = 1,218.60 × 533.84
  4. Step 4: Simplify right side
    883.28x = 650,537.42
  5. Step 5: Solve for x
    x = 650,537.42/883.28
  6. Step 6: Final answer
    x = 736.50

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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.