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Finding the Fourth Proportional to 872.29, 1,306.88 and 460.51

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Solution

The fourth proportional to 872.29, 1,306.88 and 460.51 is: 689.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.29 : 1,306.88 = 460.51 : x
  2. Step 2: Convert to fraction form
    872.29/1,306.88 = 460.51/x
  3. Step 3: Cross multiply
    872.29x = 1,306.88 × 460.51
  4. Step 4: Simplify right side
    872.29x = 601,824.77
  5. Step 5: Solve for x
    x = 601,824.77/872.29
  6. Step 6: Final answer
    x = 689.94

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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.