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Finding the Fourth Proportional to 872.33, 1,307.43 and 461.21

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Solution

The fourth proportional to 872.33, 1,307.43 and 461.21 is: 691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.33 : 1,307.43 = 461.21 : x
  2. Step 2: Convert to fraction form
    872.33/1,307.43 = 461.21/x
  3. Step 3: Cross multiply
    872.33x = 1,307.43 × 461.21
  4. Step 4: Simplify right side
    872.33x = 602,999.79
  5. Step 5: Solve for x
    x = 602,999.79/872.33
  6. Step 6: Final answer
    x = 691.25

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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.