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Finding the Fourth Proportional to 775.17, 1,170.05 and 775.17

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Solution

The fourth proportional to 775.17, 1,170.05 and 775.17 is: 1,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.17 : 1,170.05 = 775.17 : x
  2. Step 2: Convert to fraction form
    775.17/1,170.05 = 775.17/x
  3. Step 3: Cross multiply
    775.17x = 1,170.05 × 775.17
  4. Step 4: Simplify right side
    775.17x = 906,983.78
  5. Step 5: Solve for x
    x = 906,983.78/775.17
  6. Step 6: Final answer
    x = 1,170.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.