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Finding the Fourth Proportional to 775.63, 1,164.03 and 466.54

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Solution

The fourth proportional to 775.63, 1,164.03 and 466.54 is: 700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.63 : 1,164.03 = 466.54 : x
  2. Step 2: Convert to fraction form
    775.63/1,164.03 = 466.54/x
  3. Step 3: Cross multiply
    775.63x = 1,164.03 × 466.54
  4. Step 4: Simplify right side
    775.63x = 543,066.56
  5. Step 5: Solve for x
    x = 543,066.56/775.63
  6. Step 6: Final answer
    x = 700.16

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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.