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Finding the Fourth Proportional to 805.45, 1,199.52 and 778.12

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Solution

The fourth proportional to 805.45, 1,199.52 and 778.12 is: 1,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.45 : 1,199.52 = 778.12 : x
  2. Step 2: Convert to fraction form
    805.45/1,199.52 = 778.12/x
  3. Step 3: Cross multiply
    805.45x = 1,199.52 × 778.12
  4. Step 4: Simplify right side
    805.45x = 933,370.50
  5. Step 5: Solve for x
    x = 933,370.50/805.45
  6. Step 6: Final answer
    x = 1,158.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.