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Finding the Fourth Proportional to 1,357.12, 2,035.68 and 331.12

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Solution

The fourth proportional to 1,357.12, 2,035.68 and 331.12 is: 496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.12 : 2,035.68 = 331.12 : x
  2. Step 2: Convert to fraction form
    1,357.12/2,035.68 = 331.12/x
  3. Step 3: Cross multiply
    1,357.12x = 2,035.68 × 331.12
  4. Step 4: Simplify right side
    1,357.12x = 674,054.36
  5. Step 5: Solve for x
    x = 674,054.36/1,357.12
  6. Step 6: Final answer
    x = 496.68

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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.