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Finding the Fourth Proportional to 884.95, 1,221.15 and 486.53

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Solution

The fourth proportional to 884.95, 1,221.15 and 486.53 is: 671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.95 : 1,221.15 = 486.53 : x
  2. Step 2: Convert to fraction form
    884.95/1,221.15 = 486.53/x
  3. Step 3: Cross multiply
    884.95x = 1,221.15 × 486.53
  4. Step 4: Simplify right side
    884.95x = 594,128.47
  5. Step 5: Solve for x
    x = 594,128.47/884.95
  6. Step 6: Final answer
    x = 671.37

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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.