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Finding the Fourth Proportional to 801.30, 1,200.63 and 771.30

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Solution

The fourth proportional to 801.30, 1,200.63 and 771.30 is: 1,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.30 : 1,200.63 = 771.30 : x
  2. Step 2: Convert to fraction form
    801.30/1,200.63 = 771.30/x
  3. Step 3: Cross multiply
    801.30x = 1,200.63 × 771.30
  4. Step 4: Simplify right side
    801.30x = 926,045.92
  5. Step 5: Solve for x
    x = 926,045.92/801.30
  6. Step 6: Final answer
    x = 1,155.68

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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.