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Finding the Fourth Proportional to 746.46, 1,119.56 and 284.13

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Solution

The fourth proportional to 746.46, 1,119.56 and 284.13 is: 426.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.46 : 1,119.56 = 284.13 : x
  2. Step 2: Convert to fraction form
    746.46/1,119.56 = 284.13/x
  3. Step 3: Cross multiply
    746.46x = 1,119.56 × 284.13
  4. Step 4: Simplify right side
    746.46x = 318,099.16
  5. Step 5: Solve for x
    x = 318,099.16/746.46
  6. Step 6: Final answer
    x = 426.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.