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Finding the Fourth Proportional to 1,407.43, 2,111.23 and 541.74

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Solution

The fourth proportional to 1,407.43, 2,111.23 and 541.74 is: 812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.43 : 2,111.23 = 541.74 : x
  2. Step 2: Convert to fraction form
    1,407.43/2,111.23 = 541.74/x
  3. Step 3: Cross multiply
    1,407.43x = 2,111.23 × 541.74
  4. Step 4: Simplify right side
    1,407.43x = 1,143,739.09
  5. Step 5: Solve for x
    x = 1,143,739.09/1,407.43
  6. Step 6: Final answer
    x = 812.65

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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.