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Finding the Fourth Proportional to 1,649.47, 2,474.89 and 771.33

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Solution

The fourth proportional to 1,649.47, 2,474.89 and 771.33 is: 1,157.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.47 : 2,474.89 = 771.33 : x
  2. Step 2: Convert to fraction form
    1,649.47/2,474.89 = 771.33/x
  3. Step 3: Cross multiply
    1,649.47x = 2,474.89 × 771.33
  4. Step 4: Simplify right side
    1,649.47x = 1,908,956.90
  5. Step 5: Solve for x
    x = 1,908,956.90/1,649.47
  6. Step 6: Final answer
    x = 1,157.32

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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.