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Finding the Fourth Proportional to 734.04, 1,101.54 and 490.68

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Solution

The fourth proportional to 734.04, 1,101.54 and 490.68 is: 736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.04 : 1,101.54 = 490.68 : x
  2. Step 2: Convert to fraction form
    734.04/1,101.54 = 490.68/x
  3. Step 3: Cross multiply
    734.04x = 1,101.54 × 490.68
  4. Step 4: Simplify right side
    734.04x = 540,503.65
  5. Step 5: Solve for x
    x = 540,503.65/734.04
  6. Step 6: Final answer
    x = 736.34

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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.