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Finding the Fourth Proportional to 1,296.01, 1,788.49 and 706.54

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Solution

The fourth proportional to 1,296.01, 1,788.49 and 706.54 is: 975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.01 : 1,788.49 = 706.54 : x
  2. Step 2: Convert to fraction form
    1,296.01/1,788.49 = 706.54/x
  3. Step 3: Cross multiply
    1,296.01x = 1,788.49 × 706.54
  4. Step 4: Simplify right side
    1,296.01x = 1,263,639.72
  5. Step 5: Solve for x
    x = 1,263,639.72/1,296.01
  6. Step 6: Final answer
    x = 975.03

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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.