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Finding the Fourth Proportional to 1,523.48, 2,283.72 and 656.72

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Solution

The fourth proportional to 1,523.48, 2,283.72 and 656.72 is: 984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.48 : 2,283.72 = 656.72 : x
  2. Step 2: Convert to fraction form
    1,523.48/2,283.72 = 656.72/x
  3. Step 3: Cross multiply
    1,523.48x = 2,283.72 × 656.72
  4. Step 4: Simplify right side
    1,523.48x = 1,499,764.60
  5. Step 5: Solve for x
    x = 1,499,764.60/1,523.48
  6. Step 6: Final answer
    x = 984.43

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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.