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Finding the Fourth Proportional to 872.30, 1,302.62 and 762.95

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Solution

The fourth proportional to 872.30, 1,302.62 and 762.95 is: 1,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.30 : 1,302.62 = 762.95 : x
  2. Step 2: Convert to fraction form
    872.30/1,302.62 = 762.95/x
  3. Step 3: Cross multiply
    872.30x = 1,302.62 × 762.95
  4. Step 4: Simplify right side
    872.30x = 993,833.37
  5. Step 5: Solve for x
    x = 993,833.37/872.30
  6. Step 6: Final answer
    x = 1,139.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.