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Finding the Fourth Proportional to 746.57, 1,119.06 and 472.75

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Solution

The fourth proportional to 746.57, 1,119.06 and 472.75 is: 708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.57 : 1,119.06 = 472.75 : x
  2. Step 2: Convert to fraction form
    746.57/1,119.06 = 472.75/x
  3. Step 3: Cross multiply
    746.57x = 1,119.06 × 472.75
  4. Step 4: Simplify right side
    746.57x = 529,032.82
  5. Step 5: Solve for x
    x = 529,032.82/746.57
  6. Step 6: Final answer
    x = 708.62

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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.