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Finding the Fourth Proportional to 1,296.76, 1,789.50 and 707.32

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Solution

The fourth proportional to 1,296.76, 1,789.50 and 707.32 is: 976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.76 : 1,789.50 = 707.32 : x
  2. Step 2: Convert to fraction form
    1,296.76/1,789.50 = 707.32/x
  3. Step 3: Cross multiply
    1,296.76x = 1,789.50 × 707.32
  4. Step 4: Simplify right side
    1,296.76x = 1,265,749.14
  5. Step 5: Solve for x
    x = 1,265,749.14/1,296.76
  6. Step 6: Final answer
    x = 976.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.