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Finding the Fourth Proportional to 1,148.24, 1,722.78 and 490.28

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Solution

The fourth proportional to 1,148.24, 1,722.78 and 490.28 is: 735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.24 : 1,722.78 = 490.28 : x
  2. Step 2: Convert to fraction form
    1,148.24/1,722.78 = 490.28/x
  3. Step 3: Cross multiply
    1,148.24x = 1,722.78 × 490.28
  4. Step 4: Simplify right side
    1,148.24x = 844,644.58
  5. Step 5: Solve for x
    x = 844,644.58/1,148.24
  6. Step 6: Final answer
    x = 735.60

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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.