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Finding the Fourth Proportional to 803.82, 1,109.77 and 616.95

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Solution

The fourth proportional to 803.82, 1,109.77 and 616.95 is: 851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.82 : 1,109.77 = 616.95 : x
  2. Step 2: Convert to fraction form
    803.82/1,109.77 = 616.95/x
  3. Step 3: Cross multiply
    803.82x = 1,109.77 × 616.95
  4. Step 4: Simplify right side
    803.82x = 684,671.06
  5. Step 5: Solve for x
    x = 684,671.06/803.82
  6. Step 6: Final answer
    x = 851.77

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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.