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Finding the Fourth Proportional to 1,606.76, 2,410.58 and 620.02

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Solution

The fourth proportional to 1,606.76, 2,410.58 and 620.02 is: 930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.76 : 2,410.58 = 620.02 : x
  2. Step 2: Convert to fraction form
    1,606.76/2,410.58 = 620.02/x
  3. Step 3: Cross multiply
    1,606.76x = 2,410.58 × 620.02
  4. Step 4: Simplify right side
    1,606.76x = 1,494,607.81
  5. Step 5: Solve for x
    x = 1,494,607.81/1,606.76
  6. Step 6: Final answer
    x = 930.20

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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.