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Finding the Fourth Proportional to 1,161, 1,602.18 and 747.72

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Solution

The fourth proportional to 1,161, 1,602.18 and 747.72 is: 1,031.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161 : 1,602.18 = 747.72 : x
  2. Step 2: Convert to fraction form
    1,161/1,602.18 = 747.72/x
  3. Step 3: Cross multiply
    1,161x = 1,602.18 × 747.72
  4. Step 4: Simplify right side
    1,161x = 1,197,982.03
  5. Step 5: Solve for x
    x = 1,197,982.03/1,161
  6. Step 6: Final answer
    x = 1,031.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.