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Finding the Fourth Proportional to 1,161.54, 1,602.96 and 637.59

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Solution

The fourth proportional to 1,161.54, 1,602.96 and 637.59 is: 879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.54 : 1,602.96 = 637.59 : x
  2. Step 2: Convert to fraction form
    1,161.54/1,602.96 = 637.59/x
  3. Step 3: Cross multiply
    1,161.54x = 1,602.96 × 637.59
  4. Step 4: Simplify right side
    1,161.54x = 1,022,031.27
  5. Step 5: Solve for x
    x = 1,022,031.27/1,161.54
  6. Step 6: Final answer
    x = 879.89

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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.