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Finding the Fourth Proportional to 746.03, 1,119.90 and 438.10

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Solution

The fourth proportional to 746.03, 1,119.90 and 438.10 is: 657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.03 : 1,119.90 = 438.10 : x
  2. Step 2: Convert to fraction form
    746.03/1,119.90 = 438.10/x
  3. Step 3: Cross multiply
    746.03x = 1,119.90 × 438.10
  4. Step 4: Simplify right side
    746.03x = 490,628.19
  5. Step 5: Solve for x
    x = 490,628.19/746.03
  6. Step 6: Final answer
    x = 657.65

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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.