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Finding the Fourth Proportional to 1,663.28, 2,494.04 and 508.72

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Solution

The fourth proportional to 1,663.28, 2,494.04 and 508.72 is: 762.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.28 : 2,494.04 = 508.72 : x
  2. Step 2: Convert to fraction form
    1,663.28/2,494.04 = 508.72/x
  3. Step 3: Cross multiply
    1,663.28x = 2,494.04 × 508.72
  4. Step 4: Simplify right side
    1,663.28x = 1,268,768.03
  5. Step 5: Solve for x
    x = 1,268,768.03/1,663.28
  6. Step 6: Final answer
    x = 762.81

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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.