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Finding the Fourth Proportional to 836.21, 1,153.76 and 520.98

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Solution

The fourth proportional to 836.21, 1,153.76 and 520.98 is: 718.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.21 : 1,153.76 = 520.98 : x
  2. Step 2: Convert to fraction form
    836.21/1,153.76 = 520.98/x
  3. Step 3: Cross multiply
    836.21x = 1,153.76 × 520.98
  4. Step 4: Simplify right side
    836.21x = 601,083.28
  5. Step 5: Solve for x
    x = 601,083.28/836.21
  6. Step 6: Final answer
    x = 718.82

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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.