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Finding the Fourth Proportional to 746.72, 1,120.68 and 541.38

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Solution

The fourth proportional to 746.72, 1,120.68 and 541.38 is: 812.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.72 : 1,120.68 = 541.38 : x
  2. Step 2: Convert to fraction form
    746.72/1,120.68 = 541.38/x
  3. Step 3: Cross multiply
    746.72x = 1,120.68 × 541.38
  4. Step 4: Simplify right side
    746.72x = 606,713.74
  5. Step 5: Solve for x
    x = 606,713.74/746.72
  6. Step 6: Final answer
    x = 812.51

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Double scale
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1.5x scale

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.