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Finding the Fourth Proportional to 847.53, 1,265.16 and 732.71

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Solution

The fourth proportional to 847.53, 1,265.16 and 732.71 is: 1,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.53 : 1,265.16 = 732.71 : x
  2. Step 2: Convert to fraction form
    847.53/1,265.16 = 732.71/x
  3. Step 3: Cross multiply
    847.53x = 1,265.16 × 732.71
  4. Step 4: Simplify right side
    847.53x = 926,995.80
  5. Step 5: Solve for x
    x = 926,995.80/847.53
  6. Step 6: Final answer
    x = 1,093.76

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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.