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Finding the Fourth Proportional to 883.92, 1,220 and 534.52

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Solution

The fourth proportional to 883.92, 1,220 and 534.52 is: 737.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.92 : 1,220 = 534.52 : x
  2. Step 2: Convert to fraction form
    883.92/1,220 = 534.52/x
  3. Step 3: Cross multiply
    883.92x = 1,220 × 534.52
  4. Step 4: Simplify right side
    883.92x = 652,114.40
  5. Step 5: Solve for x
    x = 652,114.40/883.92
  6. Step 6: Final answer
    x = 737.75

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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.