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Finding the Fourth Proportional to 732.02, 1,098.20 and 245.06

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Solution

The fourth proportional to 732.02, 1,098.20 and 245.06 is: 367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.02 : 1,098.20 = 245.06 : x
  2. Step 2: Convert to fraction form
    732.02/1,098.20 = 245.06/x
  3. Step 3: Cross multiply
    732.02x = 1,098.20 × 245.06
  4. Step 4: Simplify right side
    732.02x = 269,124.89
  5. Step 5: Solve for x
    x = 269,124.89/732.02
  6. Step 6: Final answer
    x = 367.65

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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.