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Finding the Fourth Proportional to 1,296.98, 1,945.16 and 431.06

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Solution

The fourth proportional to 1,296.98, 1,945.16 and 431.06 is: 646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.98 : 1,945.16 = 431.06 : x
  2. Step 2: Convert to fraction form
    1,296.98/1,945.16 = 431.06/x
  3. Step 3: Cross multiply
    1,296.98x = 1,945.16 × 431.06
  4. Step 4: Simplify right side
    1,296.98x = 838,472.02
  5. Step 5: Solve for x
    x = 838,472.02/1,296.98
  6. Step 6: Final answer
    x = 646.48

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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.