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Finding the Fourth Proportional to 1,296.32, 1,944.64 and 527.36

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Solution

The fourth proportional to 1,296.32, 1,944.64 and 527.36 is: 791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.32 : 1,944.64 = 527.36 : x
  2. Step 2: Convert to fraction form
    1,296.32/1,944.64 = 527.36/x
  3. Step 3: Cross multiply
    1,296.32x = 1,944.64 × 527.36
  4. Step 4: Simplify right side
    1,296.32x = 1,025,525.35
  5. Step 5: Solve for x
    x = 1,025,525.35/1,296.32
  6. Step 6: Final answer
    x = 791.11

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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.