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Finding the Fourth Proportional to 1,320.28, 1,824.36 and 946.64

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Solution

The fourth proportional to 1,320.28, 1,824.36 and 946.64 is: 1,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.28 : 1,824.36 = 946.64 : x
  2. Step 2: Convert to fraction form
    1,320.28/1,824.36 = 946.64/x
  3. Step 3: Cross multiply
    1,320.28x = 1,824.36 × 946.64
  4. Step 4: Simplify right side
    1,320.28x = 1,727,012.15
  5. Step 5: Solve for x
    x = 1,727,012.15/1,320.28
  6. Step 6: Final answer
    x = 1,308.07

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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.