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Finding the Fourth Proportional to 1,296.56, 1,944.90 and 430.86

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Solution

The fourth proportional to 1,296.56, 1,944.90 and 430.86 is: 646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.56 : 1,944.90 = 430.86 : x
  2. Step 2: Convert to fraction form
    1,296.56/1,944.90 = 430.86/x
  3. Step 3: Cross multiply
    1,296.56x = 1,944.90 × 430.86
  4. Step 4: Simplify right side
    1,296.56x = 837,979.61
  5. Step 5: Solve for x
    x = 837,979.61/1,296.56
  6. Step 6: Final answer
    x = 646.31

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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.