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Finding the Fourth Proportional to 1,357.14, 2,035.88 and 663.83

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Solution

The fourth proportional to 1,357.14, 2,035.88 and 663.83 is: 995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.14 : 2,035.88 = 663.83 : x
  2. Step 2: Convert to fraction form
    1,357.14/2,035.88 = 663.83/x
  3. Step 3: Cross multiply
    1,357.14x = 2,035.88 × 663.83
  4. Step 4: Simplify right side
    1,357.14x = 1,351,478.22
  5. Step 5: Solve for x
    x = 1,351,478.22/1,357.14
  6. Step 6: Final answer
    x = 995.83

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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.