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Finding the Fourth Proportional to 732.70, 1,098.78 and 245.63

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Solution

The fourth proportional to 732.70, 1,098.78 and 245.63 is: 368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.70 : 1,098.78 = 245.63 : x
  2. Step 2: Convert to fraction form
    732.70/1,098.78 = 245.63/x
  3. Step 3: Cross multiply
    732.70x = 1,098.78 × 245.63
  4. Step 4: Simplify right side
    732.70x = 269,893.33
  5. Step 5: Solve for x
    x = 269,893.33/732.70
  6. Step 6: Final answer
    x = 368.35

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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.