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Finding the Fourth Proportional to 834.81, 1,152.02 and 461.81

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Solution

The fourth proportional to 834.81, 1,152.02 and 461.81 is: 637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.81 : 1,152.02 = 461.81 : x
  2. Step 2: Convert to fraction form
    834.81/1,152.02 = 461.81/x
  3. Step 3: Cross multiply
    834.81x = 1,152.02 × 461.81
  4. Step 4: Simplify right side
    834.81x = 532,014.07
  5. Step 5: Solve for x
    x = 532,014.07/834.81
  6. Step 6: Final answer
    x = 637.28

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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.