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Finding the Fourth Proportional to 803.36, 1,108.62 and 454.02

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Solution

The fourth proportional to 803.36, 1,108.62 and 454.02 is: 626.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.36 : 1,108.62 = 454.02 : x
  2. Step 2: Convert to fraction form
    803.36/1,108.62 = 454.02/x
  3. Step 3: Cross multiply
    803.36x = 1,108.62 × 454.02
  4. Step 4: Simplify right side
    803.36x = 503,335.65
  5. Step 5: Solve for x
    x = 503,335.65/803.36
  6. Step 6: Final answer
    x = 626.54

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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.