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Finding the Fourth Proportional to 775.12, 1,069.08 and 566.08

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Solution

The fourth proportional to 775.12, 1,069.08 and 566.08 is: 780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.12 : 1,069.08 = 566.08 : x
  2. Step 2: Convert to fraction form
    775.12/1,069.08 = 566.08/x
  3. Step 3: Cross multiply
    775.12x = 1,069.08 × 566.08
  4. Step 4: Simplify right side
    775.12x = 605,184.81
  5. Step 5: Solve for x
    x = 605,184.81/775.12
  6. Step 6: Final answer
    x = 780.76

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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.