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Finding the Fourth Proportional to 1,322.64, 1,983.48 and 456.72

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Solution

The fourth proportional to 1,322.64, 1,983.48 and 456.72 is: 684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.64 : 1,983.48 = 456.72 : x
  2. Step 2: Convert to fraction form
    1,322.64/1,983.48 = 456.72/x
  3. Step 3: Cross multiply
    1,322.64x = 1,983.48 × 456.72
  4. Step 4: Simplify right side
    1,322.64x = 905,894.99
  5. Step 5: Solve for x
    x = 905,894.99/1,322.64
  6. Step 6: Final answer
    x = 684.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.