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Finding the Fourth Proportional to 1,232.58, 1,848.82 and 502.17

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Solution

The fourth proportional to 1,232.58, 1,848.82 and 502.17 is: 753.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.58 : 1,848.82 = 502.17 : x
  2. Step 2: Convert to fraction form
    1,232.58/1,848.82 = 502.17/x
  3. Step 3: Cross multiply
    1,232.58x = 1,848.82 × 502.17
  4. Step 4: Simplify right side
    1,232.58x = 928,420.68
  5. Step 5: Solve for x
    x = 928,420.68/1,232.58
  6. Step 6: Final answer
    x = 753.23

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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.