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Finding the Fourth Proportional to 803.19, 1,108.91 and 616.33

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Solution

The fourth proportional to 803.19, 1,108.91 and 616.33 is: 850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.19 : 1,108.91 = 616.33 : x
  2. Step 2: Convert to fraction form
    803.19/1,108.91 = 616.33/x
  3. Step 3: Cross multiply
    803.19x = 1,108.91 × 616.33
  4. Step 4: Simplify right side
    803.19x = 683,454.50
  5. Step 5: Solve for x
    x = 683,454.50/803.19
  6. Step 6: Final answer
    x = 850.93

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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.