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Finding the Fourth Proportional to 805.70, 1,208.55 and 766.10

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Solution

The fourth proportional to 805.70, 1,208.55 and 766.10 is: 1,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.70 : 1,208.55 = 766.10 : x
  2. Step 2: Convert to fraction form
    805.70/1,208.55 = 766.10/x
  3. Step 3: Cross multiply
    805.70x = 1,208.55 × 766.10
  4. Step 4: Simplify right side
    805.70x = 925,870.16
  5. Step 5: Solve for x
    x = 925,870.16/805.70
  6. Step 6: Final answer
    x = 1,149.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.