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Finding the Fourth Proportional to 883.75, 1,219.59 and 534.43

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Solution

The fourth proportional to 883.75, 1,219.59 and 534.43 is: 737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.75 : 1,219.59 = 534.43 : x
  2. Step 2: Convert to fraction form
    883.75/1,219.59 = 534.43/x
  3. Step 3: Cross multiply
    883.75x = 1,219.59 × 534.43
  4. Step 4: Simplify right side
    883.75x = 651,785.48
  5. Step 5: Solve for x
    x = 651,785.48/883.75
  6. Step 6: Final answer
    x = 737.52

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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.