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Finding the Fourth Proportional to 1,296.46, 1,943.54 and 505.64

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Solution

The fourth proportional to 1,296.46, 1,943.54 and 505.64 is: 758.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.46 : 1,943.54 = 505.64 : x
  2. Step 2: Convert to fraction form
    1,296.46/1,943.54 = 505.64/x
  3. Step 3: Cross multiply
    1,296.46x = 1,943.54 × 505.64
  4. Step 4: Simplify right side
    1,296.46x = 982,720.58
  5. Step 5: Solve for x
    x = 982,720.58/1,296.46
  6. Step 6: Final answer
    x = 758.00

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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.