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Finding the Fourth Proportional to 803.85, 1,205.70 and 283.71

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Solution

The fourth proportional to 803.85, 1,205.70 and 283.71 is: 425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.85 : 1,205.70 = 283.71 : x
  2. Step 2: Convert to fraction form
    803.85/1,205.70 = 283.71/x
  3. Step 3: Cross multiply
    803.85x = 1,205.70 × 283.71
  4. Step 4: Simplify right side
    803.85x = 342,069.15
  5. Step 5: Solve for x
    x = 342,069.15/803.85
  6. Step 6: Final answer
    x = 425.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.