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Finding the Fourth Proportional to 816.10, 1,232.46 and 816.10

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Solution

The fourth proportional to 816.10, 1,232.46 and 816.10 is: 1,232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.10 : 1,232.46 = 816.10 : x
  2. Step 2: Convert to fraction form
    816.10/1,232.46 = 816.10/x
  3. Step 3: Cross multiply
    816.10x = 1,232.46 × 816.10
  4. Step 4: Simplify right side
    816.10x = 1,005,810.61
  5. Step 5: Solve for x
    x = 1,005,810.61/816.10
  6. Step 6: Final answer
    x = 1,232.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.