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Finding the Fourth Proportional to 1,358.32, 2,037.78 and 492.70

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Solution

The fourth proportional to 1,358.32, 2,037.78 and 492.70 is: 739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.32 : 2,037.78 = 492.70 : x
  2. Step 2: Convert to fraction form
    1,358.32/2,037.78 = 492.70/x
  3. Step 3: Cross multiply
    1,358.32x = 2,037.78 × 492.70
  4. Step 4: Simplify right side
    1,358.32x = 1,004,014.21
  5. Step 5: Solve for x
    x = 1,004,014.21/1,358.32
  6. Step 6: Final answer
    x = 739.16

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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.