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Finding the Fourth Proportional to 836.55, 1,154.43 and 463.54

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Solution

The fourth proportional to 836.55, 1,154.43 and 463.54 is: 639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.55 : 1,154.43 = 463.54 : x
  2. Step 2: Convert to fraction form
    836.55/1,154.43 = 463.54/x
  3. Step 3: Cross multiply
    836.55x = 1,154.43 × 463.54
  4. Step 4: Simplify right side
    836.55x = 535,124.48
  5. Step 5: Solve for x
    x = 535,124.48/836.55
  6. Step 6: Final answer
    x = 639.68

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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.