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Finding the Fourth Proportional to 1,399.60, 2,099.10 and 619.60

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Solution

The fourth proportional to 1,399.60, 2,099.10 and 619.60 is: 929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.60 : 2,099.10 = 619.60 : x
  2. Step 2: Convert to fraction form
    1,399.60/2,099.10 = 619.60/x
  3. Step 3: Cross multiply
    1,399.60x = 2,099.10 × 619.60
  4. Step 4: Simplify right side
    1,399.60x = 1,300,602.36
  5. Step 5: Solve for x
    x = 1,300,602.36/1,399.60
  6. Step 6: Final answer
    x = 929.27

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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.