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Finding the Fourth Proportional to 1,022.64, 1,533.40 and 509.64

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Solution

The fourth proportional to 1,022.64, 1,533.40 and 509.64 is: 764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.64 : 1,533.40 = 509.64 : x
  2. Step 2: Convert to fraction form
    1,022.64/1,533.40 = 509.64/x
  3. Step 3: Cross multiply
    1,022.64x = 1,533.40 × 509.64
  4. Step 4: Simplify right side
    1,022.64x = 781,481.98
  5. Step 5: Solve for x
    x = 781,481.98/1,022.64
  6. Step 6: Final answer
    x = 764.18

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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.