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Finding the Fourth Proportional to 1,297.48, 1,944.96 and 431.08

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Solution

The fourth proportional to 1,297.48, 1,944.96 and 431.08 is: 646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.48 : 1,944.96 = 431.08 : x
  2. Step 2: Convert to fraction form
    1,297.48/1,944.96 = 431.08/x
  3. Step 3: Cross multiply
    1,297.48x = 1,944.96 × 431.08
  4. Step 4: Simplify right side
    1,297.48x = 838,433.36
  5. Step 5: Solve for x
    x = 838,433.36/1,297.48
  6. Step 6: Final answer
    x = 646.20

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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.