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Finding the Fourth Proportional to 1,161.34, 1,602.66 and 637.38

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Solution

The fourth proportional to 1,161.34, 1,602.66 and 637.38 is: 879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.34 : 1,602.66 = 637.38 : x
  2. Step 2: Convert to fraction form
    1,161.34/1,602.66 = 637.38/x
  3. Step 3: Cross multiply
    1,161.34x = 1,602.66 × 637.38
  4. Step 4: Simplify right side
    1,161.34x = 1,021,503.43
  5. Step 5: Solve for x
    x = 1,021,503.43/1,161.34
  6. Step 6: Final answer
    x = 879.59

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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.