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Finding the Fourth Proportional to 836.34, 1,154.16 and 463.31

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Solution

The fourth proportional to 836.34, 1,154.16 and 463.31 is: 639.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.34 : 1,154.16 = 463.31 : x
  2. Step 2: Convert to fraction form
    836.34/1,154.16 = 463.31/x
  3. Step 3: Cross multiply
    836.34x = 1,154.16 × 463.31
  4. Step 4: Simplify right side
    836.34x = 534,733.87
  5. Step 5: Solve for x
    x = 534,733.87/836.34
  6. Step 6: Final answer
    x = 639.37

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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.