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Finding the Fourth Proportional to 803.41, 1,108.72 and 454.10

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Solution

The fourth proportional to 803.41, 1,108.72 and 454.10 is: 626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.41 : 1,108.72 = 454.10 : x
  2. Step 2: Convert to fraction form
    803.41/1,108.72 = 454.10/x
  3. Step 3: Cross multiply
    803.41x = 1,108.72 × 454.10
  4. Step 4: Simplify right side
    803.41x = 503,464.21
  5. Step 5: Solve for x
    x = 503,464.21/803.41
  6. Step 6: Final answer
    x = 626.66

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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.