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Finding the Fourth Proportional to 883.02, 1,217.47 and 567.73

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Solution

The fourth proportional to 883.02, 1,217.47 and 567.73 is: 782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.02 : 1,217.47 = 567.73 : x
  2. Step 2: Convert to fraction form
    883.02/1,217.47 = 567.73/x
  3. Step 3: Cross multiply
    883.02x = 1,217.47 × 567.73
  4. Step 4: Simplify right side
    883.02x = 691,194.24
  5. Step 5: Solve for x
    x = 691,194.24/883.02
  6. Step 6: Final answer
    x = 782.76

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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.