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Finding the Fourth Proportional to 1,358.02, 2,037.30 and 492.40

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Solution

The fourth proportional to 1,358.02, 2,037.30 and 492.40 is: 738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.02 : 2,037.30 = 492.40 : x
  2. Step 2: Convert to fraction form
    1,358.02/2,037.30 = 492.40/x
  3. Step 3: Cross multiply
    1,358.02x = 2,037.30 × 492.40
  4. Step 4: Simplify right side
    1,358.02x = 1,003,166.52
  5. Step 5: Solve for x
    x = 1,003,166.52/1,358.02
  6. Step 6: Final answer
    x = 738.70

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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.