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Finding the Fourth Proportional to 809.52, 1,214.03 and 537.06

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Solution

The fourth proportional to 809.52, 1,214.03 and 537.06 is: 805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,214.03 = 537.06 : x
  2. Step 2: Convert to fraction form
    809.52/1,214.03 = 537.06/x
  3. Step 3: Cross multiply
    809.52x = 1,214.03 × 537.06
  4. Step 4: Simplify right side
    809.52x = 652,009.32
  5. Step 5: Solve for x
    x = 652,009.32/809.52
  6. Step 6: Final answer
    x = 805.42

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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.