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Finding the Fourth Proportional to 836.07, 1,154.22 and 649.14

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Solution

The fourth proportional to 836.07, 1,154.22 and 649.14 is: 896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.07 : 1,154.22 = 649.14 : x
  2. Step 2: Convert to fraction form
    836.07/1,154.22 = 649.14/x
  3. Step 3: Cross multiply
    836.07x = 1,154.22 × 649.14
  4. Step 4: Simplify right side
    836.07x = 749,250.37
  5. Step 5: Solve for x
    x = 749,250.37/836.07
  6. Step 6: Final answer
    x = 896.16

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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.