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Finding the Fourth Proportional to 806.51, 1,208.16 and 531.77

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Solution

The fourth proportional to 806.51, 1,208.16 and 531.77 is: 796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.51 : 1,208.16 = 531.77 : x
  2. Step 2: Convert to fraction form
    806.51/1,208.16 = 531.77/x
  3. Step 3: Cross multiply
    806.51x = 1,208.16 × 531.77
  4. Step 4: Simplify right side
    806.51x = 642,457.20
  5. Step 5: Solve for x
    x = 642,457.20/806.51
  6. Step 6: Final answer
    x = 796.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.