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Finding the Fourth Proportional to 746.47, 1,119.69 and 284.16

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Solution

The fourth proportional to 746.47, 1,119.69 and 284.16 is: 426.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.47 : 1,119.69 = 284.16 : x
  2. Step 2: Convert to fraction form
    746.47/1,119.69 = 284.16/x
  3. Step 3: Cross multiply
    746.47x = 1,119.69 × 284.16
  4. Step 4: Simplify right side
    746.47x = 318,171.11
  5. Step 5: Solve for x
    x = 318,171.11/746.47
  6. Step 6: Final answer
    x = 426.23

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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.