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Finding the Fourth Proportional to 1,650.42, 2,474.26 and 772.48

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Solution

The fourth proportional to 1,650.42, 2,474.26 and 772.48 is: 1,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.42 : 2,474.26 = 772.48 : x
  2. Step 2: Convert to fraction form
    1,650.42/2,474.26 = 772.48/x
  3. Step 3: Cross multiply
    1,650.42x = 2,474.26 × 772.48
  4. Step 4: Simplify right side
    1,650.42x = 1,911,316.36
  5. Step 5: Solve for x
    x = 1,911,316.36/1,650.42
  6. Step 6: Final answer
    x = 1,158.08

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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.