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Finding the Fourth Proportional to 872.37, 1,306.98 and 461.07

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Solution

The fourth proportional to 872.37, 1,306.98 and 461.07 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.37 : 1,306.98 = 461.07 : x
  2. Step 2: Convert to fraction form
    872.37/1,306.98 = 461.07/x
  3. Step 3: Cross multiply
    872.37x = 1,306.98 × 461.07
  4. Step 4: Simplify right side
    872.37x = 602,609.27
  5. Step 5: Solve for x
    x = 602,609.27/872.37
  6. Step 6: Final answer
    x = 690.77

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