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Finding the Fourth Proportional to 1,296.67, 1,944.58 and 430.75

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Solution

The fourth proportional to 1,296.67, 1,944.58 and 430.75 is: 645.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.67 : 1,944.58 = 430.75 : x
  2. Step 2: Convert to fraction form
    1,296.67/1,944.58 = 430.75/x
  3. Step 3: Cross multiply
    1,296.67x = 1,944.58 × 430.75
  4. Step 4: Simplify right side
    1,296.67x = 837,627.84
  5. Step 5: Solve for x
    x = 837,627.84/1,296.67
  6. Step 6: Final answer
    x = 645.98

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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.