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Finding the Fourth Proportional to 803.40, 1,205.37 and 514.50

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Solution

The fourth proportional to 803.40, 1,205.37 and 514.50 is: 771.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.40 : 1,205.37 = 514.50 : x
  2. Step 2: Convert to fraction form
    803.40/1,205.37 = 514.50/x
  3. Step 3: Cross multiply
    803.40x = 1,205.37 × 514.50
  4. Step 4: Simplify right side
    803.40x = 620,162.87
  5. Step 5: Solve for x
    x = 620,162.87/803.40
  6. Step 6: Final answer
    x = 771.92

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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.