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Finding the Fourth Proportional to 836.34, 1,259.36 and 730.50

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Solution

The fourth proportional to 836.34, 1,259.36 and 730.50 is: 1,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.34 : 1,259.36 = 730.50 : x
  2. Step 2: Convert to fraction form
    836.34/1,259.36 = 730.50/x
  3. Step 3: Cross multiply
    836.34x = 1,259.36 × 730.50
  4. Step 4: Simplify right side
    836.34x = 919,958.83
  5. Step 5: Solve for x
    x = 919,958.83/836.34
  6. Step 6: Final answer
    x = 1,099.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.