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Finding the Fourth Proportional to 803.64, 1,109.01 and 454.34

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Solution

The fourth proportional to 803.64, 1,109.01 and 454.34 is: 626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.64 : 1,109.01 = 454.34 : x
  2. Step 2: Convert to fraction form
    803.64/1,109.01 = 454.34/x
  3. Step 3: Cross multiply
    803.64x = 1,109.01 × 454.34
  4. Step 4: Simplify right side
    803.64x = 503,862.06
  5. Step 5: Solve for x
    x = 503,862.06/803.64
  6. Step 6: Final answer
    x = 626.97

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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.