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Finding the Fourth Proportional to 842.51, 1,162.67 and 493.13

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Solution

The fourth proportional to 842.51, 1,162.67 and 493.13 is: 680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.51 : 1,162.67 = 493.13 : x
  2. Step 2: Convert to fraction form
    842.51/1,162.67 = 493.13/x
  3. Step 3: Cross multiply
    842.51x = 1,162.67 × 493.13
  4. Step 4: Simplify right side
    842.51x = 573,339.18
  5. Step 5: Solve for x
    x = 573,339.18/842.51
  6. Step 6: Final answer
    x = 680.52

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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.