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Finding the Fourth Proportional to 873.13, 1,310.46 and 462.57

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Solution

The fourth proportional to 873.13, 1,310.46 and 462.57 is: 694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.13 : 1,310.46 = 462.57 : x
  2. Step 2: Convert to fraction form
    873.13/1,310.46 = 462.57/x
  3. Step 3: Cross multiply
    873.13x = 1,310.46 × 462.57
  4. Step 4: Simplify right side
    873.13x = 606,179.48
  5. Step 5: Solve for x
    x = 606,179.48/873.13
  6. Step 6: Final answer
    x = 694.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.