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Finding the Fourth Proportional to 1,296.28, 1,942.74 and 526.36

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Solution

The fourth proportional to 1,296.28, 1,942.74 and 526.36 is: 788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.28 : 1,942.74 = 526.36 : x
  2. Step 2: Convert to fraction form
    1,296.28/1,942.74 = 526.36/x
  3. Step 3: Cross multiply
    1,296.28x = 1,942.74 × 526.36
  4. Step 4: Simplify right side
    1,296.28x = 1,022,580.63
  5. Step 5: Solve for x
    x = 1,022,580.63/1,296.28
  6. Step 6: Final answer
    x = 788.86

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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.