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Finding the Fourth Proportional to 1,297.56, 1,945.11 and 431.25

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Solution

The fourth proportional to 1,297.56, 1,945.11 and 431.25 is: 646.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.56 : 1,945.11 = 431.25 : x
  2. Step 2: Convert to fraction form
    1,297.56/1,945.11 = 431.25/x
  3. Step 3: Cross multiply
    1,297.56x = 1,945.11 × 431.25
  4. Step 4: Simplify right side
    1,297.56x = 838,828.69
  5. Step 5: Solve for x
    x = 838,828.69/1,297.56
  6. Step 6: Final answer
    x = 646.47

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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.