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Finding the Fourth Proportional to 803.38, 1,108.73 and 454.13

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Solution

The fourth proportional to 803.38, 1,108.73 and 454.13 is: 626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.38 : 1,108.73 = 454.13 : x
  2. Step 2: Convert to fraction form
    803.38/1,108.73 = 454.13/x
  3. Step 3: Cross multiply
    803.38x = 1,108.73 × 454.13
  4. Step 4: Simplify right side
    803.38x = 503,507.55
  5. Step 5: Solve for x
    x = 503,507.55/803.38
  6. Step 6: Final answer
    x = 626.74

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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.