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Finding the Fourth Proportional to 883.07, 1,218.72 and 533.75

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Solution

The fourth proportional to 883.07, 1,218.72 and 533.75 is: 736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.07 : 1,218.72 = 533.75 : x
  2. Step 2: Convert to fraction form
    883.07/1,218.72 = 533.75/x
  3. Step 3: Cross multiply
    883.07x = 1,218.72 × 533.75
  4. Step 4: Simplify right side
    883.07x = 650,491.80
  5. Step 5: Solve for x
    x = 650,491.80/883.07
  6. Step 6: Final answer
    x = 736.63

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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.