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Finding the Fourth Proportional to 775.16, 1,070.66 and 566

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Solution

The fourth proportional to 775.16, 1,070.66 and 566 is: 781.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.16 : 1,070.66 = 566 : x
  2. Step 2: Convert to fraction form
    775.16/1,070.66 = 566/x
  3. Step 3: Cross multiply
    775.16x = 1,070.66 × 566
  4. Step 4: Simplify right side
    775.16x = 605,993.56
  5. Step 5: Solve for x
    x = 605,993.56/775.16
  6. Step 6: Final answer
    x = 781.77

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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.