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Finding the Fourth Proportional to 803.13, 1,108.26 and 541.50

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Solution

The fourth proportional to 803.13, 1,108.26 and 541.50 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.13 : 1,108.26 = 541.50 : x
  2. Step 2: Convert to fraction form
    803.13/1,108.26 = 541.50/x
  3. Step 3: Cross multiply
    803.13x = 1,108.26 × 541.50
  4. Step 4: Simplify right side
    803.13x = 600,122.79
  5. Step 5: Solve for x
    x = 600,122.79/803.13
  6. Step 6: Final answer
    x = 747.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.