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Finding the Fourth Proportional to 1,232.29, 1,848.81 and 538.63

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Solution

The fourth proportional to 1,232.29, 1,848.81 and 538.63 is: 808.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.29 : 1,848.81 = 538.63 : x
  2. Step 2: Convert to fraction form
    1,232.29/1,848.81 = 538.63/x
  3. Step 3: Cross multiply
    1,232.29x = 1,848.81 × 538.63
  4. Step 4: Simplify right side
    1,232.29x = 995,824.53
  5. Step 5: Solve for x
    x = 995,824.53/1,232.29
  6. Step 6: Final answer
    x = 808.11

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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.