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Finding the Fourth Proportional to 837.72, 1,156 and 464.64

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Solution

The fourth proportional to 837.72, 1,156 and 464.64 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.72 : 1,156 = 464.64 : x
  2. Step 2: Convert to fraction form
    837.72/1,156 = 464.64/x
  3. Step 3: Cross multiply
    837.72x = 1,156 × 464.64
  4. Step 4: Simplify right side
    837.72x = 537,123.84
  5. Step 5: Solve for x
    x = 537,123.84/837.72
  6. Step 6: Final answer
    x = 641.17

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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.