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Finding the Fourth Proportional to 842.05, 1,162.13 and 510.48

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Solution

The fourth proportional to 842.05, 1,162.13 and 510.48 is: 704.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.05 : 1,162.13 = 510.48 : x
  2. Step 2: Convert to fraction form
    842.05/1,162.13 = 510.48/x
  3. Step 3: Cross multiply
    842.05x = 1,162.13 × 510.48
  4. Step 4: Simplify right side
    842.05x = 593,244.12
  5. Step 5: Solve for x
    x = 593,244.12/842.05
  6. Step 6: Final answer
    x = 704.52

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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.