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Finding the Fourth Proportional to 836.54, 1,154.41 and 463.50

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Solution

The fourth proportional to 836.54, 1,154.41 and 463.50 is: 639.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.54 : 1,154.41 = 463.50 : x
  2. Step 2: Convert to fraction form
    836.54/1,154.41 = 463.50/x
  3. Step 3: Cross multiply
    836.54x = 1,154.41 × 463.50
  4. Step 4: Simplify right side
    836.54x = 535,069.04
  5. Step 5: Solve for x
    x = 535,069.04/836.54
  6. Step 6: Final answer
    x = 639.62

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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.