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Finding the Fourth Proportional to 1,407.49, 2,111.48 and 541.73

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Solution

The fourth proportional to 1,407.49, 2,111.48 and 541.73 is: 812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.49 : 2,111.48 = 541.73 : x
  2. Step 2: Convert to fraction form
    1,407.49/2,111.48 = 541.73/x
  3. Step 3: Cross multiply
    1,407.49x = 2,111.48 × 541.73
  4. Step 4: Simplify right side
    1,407.49x = 1,143,849.35
  5. Step 5: Solve for x
    x = 1,143,849.35/1,407.49
  6. Step 6: Final answer
    x = 812.69

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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.