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Finding the Fourth Proportional to 1,161.24, 1,742.45 and 771.51

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Solution

The fourth proportional to 1,161.24, 1,742.45 and 771.51 is: 1,157.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.24 : 1,742.45 = 771.51 : x
  2. Step 2: Convert to fraction form
    1,161.24/1,742.45 = 771.51/x
  3. Step 3: Cross multiply
    1,161.24x = 1,742.45 × 771.51
  4. Step 4: Simplify right side
    1,161.24x = 1,344,308.89
  5. Step 5: Solve for x
    x = 1,344,308.89/1,161.24
  6. Step 6: Final answer
    x = 1,157.65

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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.