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Finding the Fourth Proportional to 775.41, 1,070.94 and 765.20

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Solution

The fourth proportional to 775.41, 1,070.94 and 765.20 is: 1,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.41 : 1,070.94 = 765.20 : x
  2. Step 2: Convert to fraction form
    775.41/1,070.94 = 765.20/x
  3. Step 3: Cross multiply
    775.41x = 1,070.94 × 765.20
  4. Step 4: Simplify right side
    775.41x = 819,477.93
  5. Step 5: Solve for x
    x = 819,477.93/775.41
  6. Step 6: Final answer
    x = 1,056.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.