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Finding the Fourth Proportional to 836.49, 1,156.57 and 732.68

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Solution

The fourth proportional to 836.49, 1,156.57 and 732.68 is: 1,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.49 : 1,156.57 = 732.68 : x
  2. Step 2: Convert to fraction form
    836.49/1,156.57 = 732.68/x
  3. Step 3: Cross multiply
    836.49x = 1,156.57 × 732.68
  4. Step 4: Simplify right side
    836.49x = 847,388.09
  5. Step 5: Solve for x
    x = 847,388.09/836.49
  6. Step 6: Final answer
    x = 1,013.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.