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Finding the Fourth Proportional to 809.31, 1,117.03 and 529.09

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Solution

The fourth proportional to 809.31, 1,117.03 and 529.09 is: 730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.31 : 1,117.03 = 529.09 : x
  2. Step 2: Convert to fraction form
    809.31/1,117.03 = 529.09/x
  3. Step 3: Cross multiply
    809.31x = 1,117.03 × 529.09
  4. Step 4: Simplify right side
    809.31x = 591,005.29
  5. Step 5: Solve for x
    x = 591,005.29/809.31
  6. Step 6: Final answer
    x = 730.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.