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Finding the Fourth Proportional to 1,296.45, 1,944.66 and 474.71

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Solution

The fourth proportional to 1,296.45, 1,944.66 and 474.71 is: 712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.45 : 1,944.66 = 474.71 : x
  2. Step 2: Convert to fraction form
    1,296.45/1,944.66 = 474.71/x
  3. Step 3: Cross multiply
    1,296.45x = 1,944.66 × 474.71
  4. Step 4: Simplify right side
    1,296.45x = 923,139.83
  5. Step 5: Solve for x
    x = 923,139.83/1,296.45
  6. Step 6: Final answer
    x = 712.05

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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.