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Finding the Fourth Proportional to 842.01, 1,161.79 and 510.52

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Solution

The fourth proportional to 842.01, 1,161.79 and 510.52 is: 704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.01 : 1,161.79 = 510.52 : x
  2. Step 2: Convert to fraction form
    842.01/1,161.79 = 510.52/x
  3. Step 3: Cross multiply
    842.01x = 1,161.79 × 510.52
  4. Step 4: Simplify right side
    842.01x = 593,117.90
  5. Step 5: Solve for x
    x = 593,117.90/842.01
  6. Step 6: Final answer
    x = 704.41

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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.