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Finding the Fourth Proportional to 808.31, 1,212.62 and 534.63

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Solution

The fourth proportional to 808.31, 1,212.62 and 534.63 is: 802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.31 : 1,212.62 = 534.63 : x
  2. Step 2: Convert to fraction form
    808.31/1,212.62 = 534.63/x
  3. Step 3: Cross multiply
    808.31x = 1,212.62 × 534.63
  4. Step 4: Simplify right side
    808.31x = 648,300.36
  5. Step 5: Solve for x
    x = 648,300.36/808.31
  6. Step 6: Final answer
    x = 802.04

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