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Finding the Fourth Proportional to 1,043.02, 1,439.66 and 623.66

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Solution

The fourth proportional to 1,043.02, 1,439.66 and 623.66 is: 860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.02 : 1,439.66 = 623.66 : x
  2. Step 2: Convert to fraction form
    1,043.02/1,439.66 = 623.66/x
  3. Step 3: Cross multiply
    1,043.02x = 1,439.66 × 623.66
  4. Step 4: Simplify right side
    1,043.02x = 897,858.36
  5. Step 5: Solve for x
    x = 897,858.36/1,043.02
  6. Step 6: Final answer
    x = 860.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.