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Finding the Fourth Proportional to 882.53, 1,216.78 and 567.23

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Solution

The fourth proportional to 882.53, 1,216.78 and 567.23 is: 782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.53 : 1,216.78 = 567.23 : x
  2. Step 2: Convert to fraction form
    882.53/1,216.78 = 567.23/x
  3. Step 3: Cross multiply
    882.53x = 1,216.78 × 567.23
  4. Step 4: Simplify right side
    882.53x = 690,191.28
  5. Step 5: Solve for x
    x = 690,191.28/882.53
  6. Step 6: Final answer
    x = 782.06

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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.