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Finding the Fourth Proportional to 803.88, 1,205.76 and 283.90

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Solution

The fourth proportional to 803.88, 1,205.76 and 283.90 is: 425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.88 : 1,205.76 = 283.90 : x
  2. Step 2: Convert to fraction form
    803.88/1,205.76 = 283.90/x
  3. Step 3: Cross multiply
    803.88x = 1,205.76 × 283.90
  4. Step 4: Simplify right side
    803.88x = 342,315.26
  5. Step 5: Solve for x
    x = 342,315.26/803.88
  6. Step 6: Final answer
    x = 425.83

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Why These Related Problems?

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