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Finding the Fourth Proportional to 803.50, 1,108.84 and 454.18

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Solution

The fourth proportional to 803.50, 1,108.84 and 454.18 is: 626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.50 : 1,108.84 = 454.18 : x
  2. Step 2: Convert to fraction form
    803.50/1,108.84 = 454.18/x
  3. Step 3: Cross multiply
    803.50x = 1,108.84 × 454.18
  4. Step 4: Simplify right side
    803.50x = 503,612.95
  5. Step 5: Solve for x
    x = 503,612.95/803.50
  6. Step 6: Final answer
    x = 626.77

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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.