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Finding the Fourth Proportional to 1,232.66, 1,848.17 and 492.34

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Solution

The fourth proportional to 1,232.66, 1,848.17 and 492.34 is: 738.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.66 : 1,848.17 = 492.34 : x
  2. Step 2: Convert to fraction form
    1,232.66/1,848.17 = 492.34/x
  3. Step 3: Cross multiply
    1,232.66x = 1,848.17 × 492.34
  4. Step 4: Simplify right side
    1,232.66x = 909,927.92
  5. Step 5: Solve for x
    x = 909,927.92/1,232.66
  6. Step 6: Final answer
    x = 738.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.