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Finding the Fourth Proportional to 1,558.85, 2,338.65 and 828.27

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Solution

The fourth proportional to 1,558.85, 2,338.65 and 828.27 is: 1,242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,558.85 : 2,338.65 = 828.27 : x
  2. Step 2: Convert to fraction form
    1,558.85/2,338.65 = 828.27/x
  3. Step 3: Cross multiply
    1,558.85x = 2,338.65 × 828.27
  4. Step 4: Simplify right side
    1,558.85x = 1,937,033.64
  5. Step 5: Solve for x
    x = 1,937,033.64/1,558.85
  6. Step 6: Final answer
    x = 1,242.60

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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.