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Finding the Fourth Proportional to 1,766.15, 2,649.59 and 533.67

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Solution

The fourth proportional to 1,766.15, 2,649.59 and 533.67 is: 800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.15 : 2,649.59 = 533.67 : x
  2. Step 2: Convert to fraction form
    1,766.15/2,649.59 = 533.67/x
  3. Step 3: Cross multiply
    1,766.15x = 2,649.59 × 533.67
  4. Step 4: Simplify right side
    1,766.15x = 1,414,004.03
  5. Step 5: Solve for x
    x = 1,414,004.03/1,766.15
  6. Step 6: Final answer
    x = 800.62

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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.