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Finding the Fourth Proportional to 1,407.77, 2,112.26 and 541.88

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Solution

The fourth proportional to 1,407.77, 2,112.26 and 541.88 is: 813.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.77 : 2,112.26 = 541.88 : x
  2. Step 2: Convert to fraction form
    1,407.77/2,112.26 = 541.88/x
  3. Step 3: Cross multiply
    1,407.77x = 2,112.26 × 541.88
  4. Step 4: Simplify right side
    1,407.77x = 1,144,591.45
  5. Step 5: Solve for x
    x = 1,144,591.45/1,407.77
  6. Step 6: Final answer
    x = 813.05

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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.