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Finding the Fourth Proportional to 1,650.22, 2,474.85 and 772.45

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Solution

The fourth proportional to 1,650.22, 2,474.85 and 772.45 is: 1,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.22 : 2,474.85 = 772.45 : x
  2. Step 2: Convert to fraction form
    1,650.22/2,474.85 = 772.45/x
  3. Step 3: Cross multiply
    1,650.22x = 2,474.85 × 772.45
  4. Step 4: Simplify right side
    1,650.22x = 1,911,697.88
  5. Step 5: Solve for x
    x = 1,911,697.88/1,650.22
  6. Step 6: Final answer
    x = 1,158.45

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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.