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Finding the Fourth Proportional to 1,182.28, 1,773.06 and 976.32

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Solution

The fourth proportional to 1,182.28, 1,773.06 and 976.32 is: 1,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.28 : 1,773.06 = 976.32 : x
  2. Step 2: Convert to fraction form
    1,182.28/1,773.06 = 976.32/x
  3. Step 3: Cross multiply
    1,182.28x = 1,773.06 × 976.32
  4. Step 4: Simplify right side
    1,182.28x = 1,731,073.94
  5. Step 5: Solve for x
    x = 1,731,073.94/1,182.28
  6. Step 6: Final answer
    x = 1,464.18

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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.