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Finding the Fourth Proportional to 746.43, 1,118.93 and 307.41

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Solution

The fourth proportional to 746.43, 1,118.93 and 307.41 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.43 : 1,118.93 = 307.41 : x
  2. Step 2: Convert to fraction form
    746.43/1,118.93 = 307.41/x
  3. Step 3: Cross multiply
    746.43x = 1,118.93 × 307.41
  4. Step 4: Simplify right side
    746.43x = 343,972.56
  5. Step 5: Solve for x
    x = 343,972.56/746.43
  6. Step 6: Final answer
    x = 460.82

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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.