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Finding the Fourth Proportional to 889.48, 1,227.96 and 595.25

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Solution

The fourth proportional to 889.48, 1,227.96 and 595.25 is: 821.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.48 : 1,227.96 = 595.25 : x
  2. Step 2: Convert to fraction form
    889.48/1,227.96 = 595.25/x
  3. Step 3: Cross multiply
    889.48x = 1,227.96 × 595.25
  4. Step 4: Simplify right side
    889.48x = 730,941.66
  5. Step 5: Solve for x
    x = 730,941.66/889.48
  6. Step 6: Final answer
    x = 821.76

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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.