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Finding the Fourth Proportional to 805.06, 1,208.70 and 532.90

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Solution

The fourth proportional to 805.06, 1,208.70 and 532.90 is: 800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.06 : 1,208.70 = 532.90 : x
  2. Step 2: Convert to fraction form
    805.06/1,208.70 = 532.90/x
  3. Step 3: Cross multiply
    805.06x = 1,208.70 × 532.90
  4. Step 4: Simplify right side
    805.06x = 644,116.23
  5. Step 5: Solve for x
    x = 644,116.23/805.06
  6. Step 6: Final answer
    x = 800.08

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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.