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Finding the Fourth Proportional to 1,435.28, 1,979.52 and 969.44

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Solution

The fourth proportional to 1,435.28, 1,979.52 and 969.44 is: 1,337.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.28 : 1,979.52 = 969.44 : x
  2. Step 2: Convert to fraction form
    1,435.28/1,979.52 = 969.44/x
  3. Step 3: Cross multiply
    1,435.28x = 1,979.52 × 969.44
  4. Step 4: Simplify right side
    1,435.28x = 1,919,025.87
  5. Step 5: Solve for x
    x = 1,919,025.87/1,435.28
  6. Step 6: Final answer
    x = 1,337.04

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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.