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Finding the Fourth Proportional to 1,359.05, 2,037.35 and 492.75

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Solution

The fourth proportional to 1,359.05, 2,037.35 and 492.75 is: 738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.05 : 2,037.35 = 492.75 : x
  2. Step 2: Convert to fraction form
    1,359.05/2,037.35 = 492.75/x
  3. Step 3: Cross multiply
    1,359.05x = 2,037.35 × 492.75
  4. Step 4: Simplify right side
    1,359.05x = 1,003,901.75
  5. Step 5: Solve for x
    x = 1,003,901.75/1,359.05
  6. Step 6: Final answer
    x = 738.68

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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.