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Finding the Fourth Proportional to 1,322.64, 1,983.51 and 456.75

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Solution

The fourth proportional to 1,322.64, 1,983.51 and 456.75 is: 684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.64 : 1,983.51 = 456.75 : x
  2. Step 2: Convert to fraction form
    1,322.64/1,983.51 = 456.75/x
  3. Step 3: Cross multiply
    1,322.64x = 1,983.51 × 456.75
  4. Step 4: Simplify right side
    1,322.64x = 905,968.19
  5. Step 5: Solve for x
    x = 905,968.19/1,322.64
  6. Step 6: Final answer
    x = 684.97

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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.