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Finding the Fourth Proportional to 834.81, 1,152.02 and 461.76

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Solution

The fourth proportional to 834.81, 1,152.02 and 461.76 is: 637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.81 : 1,152.02 = 461.76 : x
  2. Step 2: Convert to fraction form
    834.81/1,152.02 = 461.76/x
  3. Step 3: Cross multiply
    834.81x = 1,152.02 × 461.76
  4. Step 4: Simplify right side
    834.81x = 531,956.76
  5. Step 5: Solve for x
    x = 531,956.76/834.81
  6. Step 6: Final answer
    x = 637.22

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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.