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Finding the Fourth Proportional to 775.14, 1,164.90 and 585.06

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Solution

The fourth proportional to 775.14, 1,164.90 and 585.06 is: 879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.14 : 1,164.90 = 585.06 : x
  2. Step 2: Convert to fraction form
    775.14/1,164.90 = 585.06/x
  3. Step 3: Cross multiply
    775.14x = 1,164.90 × 585.06
  4. Step 4: Simplify right side
    775.14x = 681,536.39
  5. Step 5: Solve for x
    x = 681,536.39/775.14
  6. Step 6: Final answer
    x = 879.24

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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.