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Finding the Fourth Proportional to 883.52, 1,216.77 and 734.80

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Solution

The fourth proportional to 883.52, 1,216.77 and 734.80 is: 1,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.52 : 1,216.77 = 734.80 : x
  2. Step 2: Convert to fraction form
    883.52/1,216.77 = 734.80/x
  3. Step 3: Cross multiply
    883.52x = 1,216.77 × 734.80
  4. Step 4: Simplify right side
    883.52x = 894,082.60
  5. Step 5: Solve for x
    x = 894,082.60/883.52
  6. Step 6: Final answer
    x = 1,011.96

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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.