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Finding the Fourth Proportional to 694.86, 1,041.21 and 541.20

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Solution

The fourth proportional to 694.86, 1,041.21 and 541.20 is: 810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.86 : 1,041.21 = 541.20 : x
  2. Step 2: Convert to fraction form
    694.86/1,041.21 = 541.20/x
  3. Step 3: Cross multiply
    694.86x = 1,041.21 × 541.20
  4. Step 4: Simplify right side
    694.86x = 563,502.85
  5. Step 5: Solve for x
    x = 563,502.85/694.86
  6. Step 6: Final answer
    x = 810.96

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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.