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Finding the Fourth Proportional to 803.14, 1,108.34 and 453.83

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Solution

The fourth proportional to 803.14, 1,108.34 and 453.83 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.14 : 1,108.34 = 453.83 : x
  2. Step 2: Convert to fraction form
    803.14/1,108.34 = 453.83/x
  3. Step 3: Cross multiply
    803.14x = 1,108.34 × 453.83
  4. Step 4: Simplify right side
    803.14x = 502,999.95
  5. Step 5: Solve for x
    x = 502,999.95/803.14
  6. Step 6: Final answer
    x = 626.29

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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.