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Finding the Fourth Proportional to 1,296.12, 1,944.50 and 430.44

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Solution

The fourth proportional to 1,296.12, 1,944.50 and 430.44 is: 645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.12 : 1,944.50 = 430.44 : x
  2. Step 2: Convert to fraction form
    1,296.12/1,944.50 = 430.44/x
  3. Step 3: Cross multiply
    1,296.12x = 1,944.50 × 430.44
  4. Step 4: Simplify right side
    1,296.12x = 836,990.58
  5. Step 5: Solve for x
    x = 836,990.58/1,296.12
  6. Step 6: Final answer
    x = 645.77

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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.