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Finding the Fourth Proportional to 1,205.16, 1,663.20 and 762.90

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Solution

The fourth proportional to 1,205.16, 1,663.20 and 762.90 is: 1,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.16 : 1,663.20 = 762.90 : x
  2. Step 2: Convert to fraction form
    1,205.16/1,663.20 = 762.90/x
  3. Step 3: Cross multiply
    1,205.16x = 1,663.20 × 762.90
  4. Step 4: Simplify right side
    1,205.16x = 1,268,855.28
  5. Step 5: Solve for x
    x = 1,268,855.28/1,205.16
  6. Step 6: Final answer
    x = 1,052.85

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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.