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Finding the Fourth Proportional to 805.87, 1,207.05 and 497.80

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Solution

The fourth proportional to 805.87, 1,207.05 and 497.80 is: 745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.87 : 1,207.05 = 497.80 : x
  2. Step 2: Convert to fraction form
    805.87/1,207.05 = 497.80/x
  3. Step 3: Cross multiply
    805.87x = 1,207.05 × 497.80
  4. Step 4: Simplify right side
    805.87x = 600,869.49
  5. Step 5: Solve for x
    x = 600,869.49/805.87
  6. Step 6: Final answer
    x = 745.62

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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.