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Finding the Fourth Proportional to 803.53, 1,108.41 and 471.90

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Solution

The fourth proportional to 803.53, 1,108.41 and 471.90 is: 650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.53 : 1,108.41 = 471.90 : x
  2. Step 2: Convert to fraction form
    803.53/1,108.41 = 471.90/x
  3. Step 3: Cross multiply
    803.53x = 1,108.41 × 471.90
  4. Step 4: Simplify right side
    803.53x = 523,053.14
  5. Step 5: Solve for x
    x = 523,053.14/803.53
  6. Step 6: Final answer
    x = 650.94

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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.