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Finding the Fourth Proportional to 1,296.22, 1,944.60 and 430.60

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Solution

The fourth proportional to 1,296.22, 1,944.60 and 430.60 is: 645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.22 : 1,944.60 = 430.60 : x
  2. Step 2: Convert to fraction form
    1,296.22/1,944.60 = 430.60/x
  3. Step 3: Cross multiply
    1,296.22x = 1,944.60 × 430.60
  4. Step 4: Simplify right side
    1,296.22x = 837,344.76
  5. Step 5: Solve for x
    x = 837,344.76/1,296.22
  6. Step 6: Final answer
    x = 645.99

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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.