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Finding the Fourth Proportional to 884.75, 1,326.66 and 468.51

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Solution

The fourth proportional to 884.75, 1,326.66 and 468.51 is: 702.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.75 : 1,326.66 = 468.51 : x
  2. Step 2: Convert to fraction form
    884.75/1,326.66 = 468.51/x
  3. Step 3: Cross multiply
    884.75x = 1,326.66 × 468.51
  4. Step 4: Simplify right side
    884.75x = 621,553.48
  5. Step 5: Solve for x
    x = 621,553.48/884.75
  6. Step 6: Final answer
    x = 702.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.